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Finding the Third Proportional to 24,724 and 51,496

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Solution

The third proportional to 24,724 and 51,496 is: 107,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,724 : 51,496 = 51,496 : x
  2. Step 2: Convert to fraction form
    24,724/51,496 = 51,496/x
  3. Step 3: Cross multiply
    24,724x = 51,496 × 51,496
  4. Step 4: Simplify right side
    24,724x = 2,651,838,016
  5. Step 5: Solve for x
    x = 2,651,838,016/24,724
  6. Step 6: Final answer
    x = 107,257.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.