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Finding the Third Proportional to 39,505.22 and 85,708.13

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Solution

The third proportional to 39,505.22 and 85,708.13 is: 185,947.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,505.22 : 85,708.13 = 85,708.13 : x
  2. Step 2: Convert to fraction form
    39,505.22/85,708.13 = 85,708.13/x
  3. Step 3: Cross multiply
    39,505.22x = 85,708.13 × 85,708.13
  4. Step 4: Simplify right side
    39,505.22x = 7,345,882,691.02
  5. Step 5: Solve for x
    x = 7,345,882,691.02/39,505.22
  6. Step 6: Final answer
    x = 185,947.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.