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Finding the Third Proportional to 24,902 and 53,098

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Solution

The third proportional to 24,902 and 53,098 is: 113,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902 : 53,098 = 53,098 : x
  2. Step 2: Convert to fraction form
    24,902/53,098 = 53,098/x
  3. Step 3: Cross multiply
    24,902x = 53,098 × 53,098
  4. Step 4: Simplify right side
    24,902x = 2,819,397,604
  5. Step 5: Solve for x
    x = 2,819,397,604/24,902
  6. Step 6: Final answer
    x = 113,219.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.