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Finding the Third Proportional to 27,856 and 58,814

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Solution

The third proportional to 27,856 and 58,814 is: 124,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856 : 58,814 = 58,814 : x
  2. Step 2: Convert to fraction form
    27,856/58,814 = 58,814/x
  3. Step 3: Cross multiply
    27,856x = 58,814 × 58,814
  4. Step 4: Simplify right side
    27,856x = 3,459,086,596
  5. Step 5: Solve for x
    x = 3,459,086,596/27,856
  6. Step 6: Final answer
    x = 124,177.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.