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Finding the Third Proportional to 27,252 and 59,496

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Solution

The third proportional to 27,252 and 59,496 is: 129,890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,252 : 59,496 = 59,496 : x
  2. Step 2: Convert to fraction form
    27,252/59,496 = 59,496/x
  3. Step 3: Cross multiply
    27,252x = 59,496 × 59,496
  4. Step 4: Simplify right side
    27,252x = 3,539,774,016
  5. Step 5: Solve for x
    x = 3,539,774,016/27,252
  6. Step 6: Final answer
    x = 129,890.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.