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Finding the Third Proportional to 31,582 and 68,924

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Solution

The third proportional to 31,582 and 68,924 is: 150,418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,582 : 68,924 = 68,924 : x
  2. Step 2: Convert to fraction form
    31,582/68,924 = 68,924/x
  3. Step 3: Cross multiply
    31,582x = 68,924 × 68,924
  4. Step 4: Simplify right side
    31,582x = 4,750,517,776
  5. Step 5: Solve for x
    x = 4,750,517,776/31,582
  6. Step 6: Final answer
    x = 150,418.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.