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Finding the Third Proportional to 39,131.72 and 84,516.47

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Solution

The third proportional to 39,131.72 and 84,516.47 is: 182,538.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,131.72 : 84,516.47 = 84,516.47 : x
  2. Step 2: Convert to fraction form
    39,131.72/84,516.47 = 84,516.47/x
  3. Step 3: Cross multiply
    39,131.72x = 84,516.47 × 84,516.47
  4. Step 4: Simplify right side
    39,131.72x = 7,143,033,489.97
  5. Step 5: Solve for x
    x = 7,143,033,489.97/39,131.72
  6. Step 6: Final answer
    x = 182,538.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.