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Finding the Third Proportional to 22,497 and 49,524

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Solution

The third proportional to 22,497 and 49,524 is: 109,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497 : 49,524 = 49,524 : x
  2. Step 2: Convert to fraction form
    22,497/49,524 = 49,524/x
  3. Step 3: Cross multiply
    22,497x = 49,524 × 49,524
  4. Step 4: Simplify right side
    22,497x = 2,452,626,576
  5. Step 5: Solve for x
    x = 2,452,626,576/22,497
  6. Step 6: Final answer
    x = 109,020.16

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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.