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Finding the Third Proportional to 39,646.97 and 85,057.59

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Solution

The third proportional to 39,646.97 and 85,057.59 is: 182,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,646.97 : 85,057.59 = 85,057.59 : x
  2. Step 2: Convert to fraction form
    39,646.97/85,057.59 = 85,057.59/x
  3. Step 3: Cross multiply
    39,646.97x = 85,057.59 × 85,057.59
  4. Step 4: Simplify right side
    39,646.97x = 7,234,794,254.54
  5. Step 5: Solve for x
    x = 7,234,794,254.54/39,646.97
  6. Step 6: Final answer
    x = 182,480.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.