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Finding the Third Proportional to 38,231 and 59,051

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Solution

The third proportional to 38,231 and 59,051 is: 91,209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,231 : 59,051 = 59,051 : x
  2. Step 2: Convert to fraction form
    38,231/59,051 = 59,051/x
  3. Step 3: Cross multiply
    38,231x = 59,051 × 59,051
  4. Step 4: Simplify right side
    38,231x = 3,487,020,601
  5. Step 5: Solve for x
    x = 3,487,020,601/38,231
  6. Step 6: Final answer
    x = 91,209.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.