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Finding the Third Proportional to 24,296 and 31,902

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Solution

The third proportional to 24,296 and 31,902 is: 41,889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,296 : 31,902 = 31,902 : x
  2. Step 2: Convert to fraction form
    24,296/31,902 = 31,902/x
  3. Step 3: Cross multiply
    24,296x = 31,902 × 31,902
  4. Step 4: Simplify right side
    24,296x = 1,017,737,604
  5. Step 5: Solve for x
    x = 1,017,737,604/24,296
  6. Step 6: Final answer
    x = 41,889.10

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.