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Finding the Third Proportional to 26,931 and 58,691

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Solution

The third proportional to 26,931 and 58,691 is: 127,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,931 : 58,691 = 58,691 : x
  2. Step 2: Convert to fraction form
    26,931/58,691 = 58,691/x
  3. Step 3: Cross multiply
    26,931x = 58,691 × 58,691
  4. Step 4: Simplify right side
    26,931x = 3,444,633,481
  5. Step 5: Solve for x
    x = 3,444,633,481/26,931
  6. Step 6: Final answer
    x = 127,905.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.