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Finding the Third Proportional to 38,522 and 59,129

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Solution

The third proportional to 38,522 and 59,129 is: 90,759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,522 : 59,129 = 59,129 : x
  2. Step 2: Convert to fraction form
    38,522/59,129 = 59,129/x
  3. Step 3: Cross multiply
    38,522x = 59,129 × 59,129
  4. Step 4: Simplify right side
    38,522x = 3,496,238,641
  5. Step 5: Solve for x
    x = 3,496,238,641/38,522
  6. Step 6: Final answer
    x = 90,759.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.