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Finding the Third Proportional to 39,717 and 58,359.38

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Solution

The third proportional to 39,717 and 58,359.38 is: 85,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,717 : 58,359.38 = 58,359.38 : x
  2. Step 2: Convert to fraction form
    39,717/58,359.38 = 58,359.38/x
  3. Step 3: Cross multiply
    39,717x = 58,359.38 × 58,359.38
  4. Step 4: Simplify right side
    39,717x = 3,405,816,650.39
  5. Step 5: Solve for x
    x = 3,405,816,650.39/39,717
  6. Step 6: Final answer
    x = 85,752.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.