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Finding the Third Proportional to 27,713 and 57,397

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Solution

The third proportional to 27,713 and 57,397 is: 118,876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,713 : 57,397 = 57,397 : x
  2. Step 2: Convert to fraction form
    27,713/57,397 = 57,397/x
  3. Step 3: Cross multiply
    27,713x = 57,397 × 57,397
  4. Step 4: Simplify right side
    27,713x = 3,294,415,609
  5. Step 5: Solve for x
    x = 3,294,415,609/27,713
  6. Step 6: Final answer
    x = 118,876.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.