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Finding the Third Proportional to 26,866 and 58,397

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Solution

The third proportional to 26,866 and 58,397 is: 126,934.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,866 : 58,397 = 58,397 : x
  2. Step 2: Convert to fraction form
    26,866/58,397 = 58,397/x
  3. Step 3: Cross multiply
    26,866x = 58,397 × 58,397
  4. Step 4: Simplify right side
    26,866x = 3,410,209,609
  5. Step 5: Solve for x
    x = 3,410,209,609/26,866
  6. Step 6: Final answer
    x = 126,934.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.