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Finding the Third Proportional to 27,274 and 58,748

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Solution

The third proportional to 27,274 and 58,748 is: 126,542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,274 : 58,748 = 58,748 : x
  2. Step 2: Convert to fraction form
    27,274/58,748 = 58,748/x
  3. Step 3: Cross multiply
    27,274x = 58,748 × 58,748
  4. Step 4: Simplify right side
    27,274x = 3,451,327,504
  5. Step 5: Solve for x
    x = 3,451,327,504/27,274
  6. Step 6: Final answer
    x = 126,542.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.