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Finding the Third Proportional to 27,738 and 59,292

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Solution

The third proportional to 27,738 and 59,292 is: 126,740.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,738 : 59,292 = 59,292 : x
  2. Step 2: Convert to fraction form
    27,738/59,292 = 59,292/x
  3. Step 3: Cross multiply
    27,738x = 59,292 × 59,292
  4. Step 4: Simplify right side
    27,738x = 3,515,541,264
  5. Step 5: Solve for x
    x = 3,515,541,264/27,738
  6. Step 6: Final answer
    x = 126,740.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.