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Finding the Third Proportional to 24,902 and 52,112

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Solution

The third proportional to 24,902 and 52,112 is: 109,053.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902 : 52,112 = 52,112 : x
  2. Step 2: Convert to fraction form
    24,902/52,112 = 52,112/x
  3. Step 3: Cross multiply
    24,902x = 52,112 × 52,112
  4. Step 4: Simplify right side
    24,902x = 2,715,660,544
  5. Step 5: Solve for x
    x = 2,715,660,544/24,902
  6. Step 6: Final answer
    x = 109,053.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.