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Finding the Third Proportional to 26,978 and 58,683

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Solution

The third proportional to 26,978 and 58,683 is: 127,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978 : 58,683 = 58,683 : x
  2. Step 2: Convert to fraction form
    26,978/58,683 = 58,683/x
  3. Step 3: Cross multiply
    26,978x = 58,683 × 58,683
  4. Step 4: Simplify right side
    26,978x = 3,443,694,489
  5. Step 5: Solve for x
    x = 3,443,694,489/26,978
  6. Step 6: Final answer
    x = 127,648.25

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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.