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Finding the Third Proportional to 24,802 and 33,739

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Solution

The third proportional to 24,802 and 33,739 is: 45,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802 : 33,739 = 33,739 : x
  2. Step 2: Convert to fraction form
    24,802/33,739 = 33,739/x
  3. Step 3: Cross multiply
    24,802x = 33,739 × 33,739
  4. Step 4: Simplify right side
    24,802x = 1,138,320,121
  5. Step 5: Solve for x
    x = 1,138,320,121/24,802
  6. Step 6: Final answer
    x = 45,896.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.