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Finding the Third Proportional to 31,539 and 68,883

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Solution

The third proportional to 31,539 and 68,883 is: 150,444.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,539 : 68,883 = 68,883 : x
  2. Step 2: Convert to fraction form
    31,539/68,883 = 68,883/x
  3. Step 3: Cross multiply
    31,539x = 68,883 × 68,883
  4. Step 4: Simplify right side
    31,539x = 4,744,867,689
  5. Step 5: Solve for x
    x = 4,744,867,689/31,539
  6. Step 6: Final answer
    x = 150,444.46

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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.