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Finding the Third Proportional to 27,294 and 58,767

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Solution

The third proportional to 27,294 and 58,767 is: 126,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,294 : 58,767 = 58,767 : x
  2. Step 2: Convert to fraction form
    27,294/58,767 = 58,767/x
  3. Step 3: Cross multiply
    27,294x = 58,767 × 58,767
  4. Step 4: Simplify right side
    27,294x = 3,453,560,289
  5. Step 5: Solve for x
    x = 3,453,560,289/27,294
  6. Step 6: Final answer
    x = 126,531.85

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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.