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Finding the Third Proportional to 15,789 and 22,810.50

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Solution

The third proportional to 15,789 and 22,810.50 is: 32,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,789 : 22,810.50 = 22,810.50 : x
  2. Step 2: Convert to fraction form
    15,789/22,810.50 = 22,810.50/x
  3. Step 3: Cross multiply
    15,789x = 22,810.50 × 22,810.50
  4. Step 4: Simplify right side
    15,789x = 520,318,910.25
  5. Step 5: Solve for x
    x = 520,318,910.25/15,789
  6. Step 6: Final answer
    x = 32,954.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.