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Finding the Third Proportional to 24,802 and 33,523

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Solution

The third proportional to 24,802 and 33,523 is: 45,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802 : 33,523 = 33,523 : x
  2. Step 2: Convert to fraction form
    24,802/33,523 = 33,523/x
  3. Step 3: Cross multiply
    24,802x = 33,523 × 33,523
  4. Step 4: Simplify right side
    24,802x = 1,123,791,529
  5. Step 5: Solve for x
    x = 1,123,791,529/24,802
  6. Step 6: Final answer
    x = 45,310.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.