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Finding the Third Proportional to 38,861 and 59,051

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Solution

The third proportional to 38,861 and 59,051 is: 89,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,861 : 59,051 = 59,051 : x
  2. Step 2: Convert to fraction form
    38,861/59,051 = 59,051/x
  3. Step 3: Cross multiply
    38,861x = 59,051 × 59,051
  4. Step 4: Simplify right side
    38,861x = 3,487,020,601
  5. Step 5: Solve for x
    x = 3,487,020,601/38,861
  6. Step 6: Final answer
    x = 89,730.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.