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Finding the Third Proportional to 27,584 and 60,496

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Solution

The third proportional to 27,584 and 60,496 is: 132,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584 : 60,496 = 60,496 : x
  2. Step 2: Convert to fraction form
    27,584/60,496 = 60,496/x
  3. Step 3: Cross multiply
    27,584x = 60,496 × 60,496
  4. Step 4: Simplify right side
    27,584x = 3,659,766,016
  5. Step 5: Solve for x
    x = 3,659,766,016/27,584
  6. Step 6: Final answer
    x = 132,677.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.