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Finding the Third Proportional to 12,823.50 and 19,235.25

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Solution

The third proportional to 12,823.50 and 19,235.25 is: 28,852.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.50 : 19,235.25 = 19,235.25 : x
  2. Step 2: Convert to fraction form
    12,823.50/19,235.25 = 19,235.25/x
  3. Step 3: Cross multiply
    12,823.50x = 19,235.25 × 19,235.25
  4. Step 4: Simplify right side
    12,823.50x = 369,994,842.56
  5. Step 5: Solve for x
    x = 369,994,842.56/12,823.50
  6. Step 6: Final answer
    x = 28,852.88

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.