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Finding the Third Proportional to 38,918 and 61,495

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Solution

The third proportional to 38,918 and 61,495 is: 97,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,918 : 61,495 = 61,495 : x
  2. Step 2: Convert to fraction form
    38,918/61,495 = 61,495/x
  3. Step 3: Cross multiply
    38,918x = 61,495 × 61,495
  4. Step 4: Simplify right side
    38,918x = 3,781,635,025
  5. Step 5: Solve for x
    x = 3,781,635,025/38,918
  6. Step 6: Final answer
    x = 97,169.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.