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Finding the Third Proportional to 40,842.38 and 62,465.06

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Solution

The third proportional to 40,842.38 and 62,465.06 is: 95,535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,842.38 : 62,465.06 = 62,465.06 : x
  2. Step 2: Convert to fraction form
    40,842.38/62,465.06 = 62,465.06/x
  3. Step 3: Cross multiply
    40,842.38x = 62,465.06 × 62,465.06
  4. Step 4: Simplify right side
    40,842.38x = 3,901,884,033.13
  5. Step 5: Solve for x
    x = 3,901,884,033.13/40,842.38
  6. Step 6: Final answer
    x = 95,535.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.