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Finding the Third Proportional to 31,890 and 67,426

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Solution

The third proportional to 31,890 and 67,426 is: 142,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,890 : 67,426 = 67,426 : x
  2. Step 2: Convert to fraction form
    31,890/67,426 = 67,426/x
  3. Step 3: Cross multiply
    31,890x = 67,426 × 67,426
  4. Step 4: Simplify right side
    31,890x = 4,546,265,476
  5. Step 5: Solve for x
    x = 4,546,265,476/31,890
  6. Step 6: Final answer
    x = 142,560.85

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.