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Finding the Third Proportional to 22,031 and 48,418

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Solution

The third proportional to 22,031 and 48,418 is: 106,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,031 : 48,418 = 48,418 : x
  2. Step 2: Convert to fraction form
    22,031/48,418 = 48,418/x
  3. Step 3: Cross multiply
    22,031x = 48,418 × 48,418
  4. Step 4: Simplify right side
    22,031x = 2,344,302,724
  5. Step 5: Solve for x
    x = 2,344,302,724/22,031
  6. Step 6: Final answer
    x = 106,409.27

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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.