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Finding the Third Proportional to 31,924 and 68,586

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Solution

The third proportional to 31,924 and 68,586 is: 147,351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,924 : 68,586 = 68,586 : x
  2. Step 2: Convert to fraction form
    31,924/68,586 = 68,586/x
  3. Step 3: Cross multiply
    31,924x = 68,586 × 68,586
  4. Step 4: Simplify right side
    31,924x = 4,704,039,396
  5. Step 5: Solve for x
    x = 4,704,039,396/31,924
  6. Step 6: Final answer
    x = 147,351.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.