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Finding the Third Proportional to 22,107 and 48,538

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Solution

The third proportional to 22,107 and 48,538 is: 106,569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,107 : 48,538 = 48,538 : x
  2. Step 2: Convert to fraction form
    22,107/48,538 = 48,538/x
  3. Step 3: Cross multiply
    22,107x = 48,538 × 48,538
  4. Step 4: Simplify right side
    22,107x = 2,355,937,444
  5. Step 5: Solve for x
    x = 2,355,937,444/22,107
  6. Step 6: Final answer
    x = 106,569.75

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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.