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Finding the Third Proportional to 26,676 and 58,424

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Solution

The third proportional to 26,676 and 58,424 is: 127,956.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,676 : 58,424 = 58,424 : x
  2. Step 2: Convert to fraction form
    26,676/58,424 = 58,424/x
  3. Step 3: Cross multiply
    26,676x = 58,424 × 58,424
  4. Step 4: Simplify right side
    26,676x = 3,413,363,776
  5. Step 5: Solve for x
    x = 3,413,363,776/26,676
  6. Step 6: Final answer
    x = 127,956.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.