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Finding the Third Proportional to 39,531 and 57,816

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Solution

The third proportional to 39,531 and 57,816 is: 84,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,531 : 57,816 = 57,816 : x
  2. Step 2: Convert to fraction form
    39,531/57,816 = 57,816/x
  3. Step 3: Cross multiply
    39,531x = 57,816 × 57,816
  4. Step 4: Simplify right side
    39,531x = 3,342,689,856
  5. Step 5: Solve for x
    x = 3,342,689,856/39,531
  6. Step 6: Final answer
    x = 84,558.70

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.