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Finding the Third Proportional to 27,216 and 62,856

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Solution

The third proportional to 27,216 and 62,856 is: 145,167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,216 : 62,856 = 62,856 : x
  2. Step 2: Convert to fraction form
    27,216/62,856 = 62,856/x
  3. Step 3: Cross multiply
    27,216x = 62,856 × 62,856
  4. Step 4: Simplify right side
    27,216x = 3,950,876,736
  5. Step 5: Solve for x
    x = 3,950,876,736/27,216
  6. Step 6: Final answer
    x = 145,167.43

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.