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Finding the Third Proportional to 22,214 and 48,802

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Solution

The third proportional to 22,214 and 48,802 is: 107,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,214 : 48,802 = 48,802 : x
  2. Step 2: Convert to fraction form
    22,214/48,802 = 48,802/x
  3. Step 3: Cross multiply
    22,214x = 48,802 × 48,802
  4. Step 4: Simplify right side
    22,214x = 2,381,635,204
  5. Step 5: Solve for x
    x = 2,381,635,204/22,214
  6. Step 6: Final answer
    x = 107,213.25

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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.