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Finding the Third Proportional to 27,518 and 58,924

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Solution

The third proportional to 27,518 and 58,924 is: 126,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,518 : 58,924 = 58,924 : x
  2. Step 2: Convert to fraction form
    27,518/58,924 = 58,924/x
  3. Step 3: Cross multiply
    27,518x = 58,924 × 58,924
  4. Step 4: Simplify right side
    27,518x = 3,472,037,776
  5. Step 5: Solve for x
    x = 3,472,037,776/27,518
  6. Step 6: Final answer
    x = 126,173.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.