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Finding the Third Proportional to 7,764.19 and 12,300.19

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Solution

The third proportional to 7,764.19 and 12,300.19 is: 19,486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.19 : 12,300.19 = 12,300.19 : x
  2. Step 2: Convert to fraction form
    7,764.19/12,300.19 = 12,300.19/x
  3. Step 3: Cross multiply
    7,764.19x = 12,300.19 × 12,300.19
  4. Step 4: Simplify right side
    7,764.19x = 151,294,612.54
  5. Step 5: Solve for x
    x = 151,294,612.54/7,764.19
  6. Step 6: Final answer
    x = 19,486.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.