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Finding the Third Proportional to 24,802 and 37,782

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Solution

The third proportional to 24,802 and 37,782 is: 57,555.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802 : 37,782 = 37,782 : x
  2. Step 2: Convert to fraction form
    24,802/37,782 = 37,782/x
  3. Step 3: Cross multiply
    24,802x = 37,782 × 37,782
  4. Step 4: Simplify right side
    24,802x = 1,427,479,524
  5. Step 5: Solve for x
    x = 1,427,479,524/24,802
  6. Step 6: Final answer
    x = 57,555.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.