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Finding the Third Proportional to 27,126 and 58,762

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Solution

The third proportional to 27,126 and 58,762 is: 127,293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,126 : 58,762 = 58,762 : x
  2. Step 2: Convert to fraction form
    27,126/58,762 = 58,762/x
  3. Step 3: Cross multiply
    27,126x = 58,762 × 58,762
  4. Step 4: Simplify right side
    27,126x = 3,452,972,644
  5. Step 5: Solve for x
    x = 3,452,972,644/27,126
  6. Step 6: Final answer
    x = 127,293.84

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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.