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Finding the Third Proportional to 27,382 and 59,134

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Solution

The third proportional to 27,382 and 59,134 is: 127,705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382 : 59,134 = 59,134 : x
  2. Step 2: Convert to fraction form
    27,382/59,134 = 59,134/x
  3. Step 3: Cross multiply
    27,382x = 59,134 × 59,134
  4. Step 4: Simplify right side
    27,382x = 3,496,829,956
  5. Step 5: Solve for x
    x = 3,496,829,956/27,382
  6. Step 6: Final answer
    x = 127,705.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.