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Finding the Third Proportional to 26,471 and 58,126

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Solution

The third proportional to 26,471 and 58,126 is: 127,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,471 : 58,126 = 58,126 : x
  2. Step 2: Convert to fraction form
    26,471/58,126 = 58,126/x
  3. Step 3: Cross multiply
    26,471x = 58,126 × 58,126
  4. Step 4: Simplify right side
    26,471x = 3,378,631,876
  5. Step 5: Solve for x
    x = 3,378,631,876/26,471
  6. Step 6: Final answer
    x = 127,635.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.