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Finding the Third Proportional to 31,929 and 67,890

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Solution

The third proportional to 31,929 and 67,890 is: 144,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,929 : 67,890 = 67,890 : x
  2. Step 2: Convert to fraction form
    31,929/67,890 = 67,890/x
  3. Step 3: Cross multiply
    31,929x = 67,890 × 67,890
  4. Step 4: Simplify right side
    31,929x = 4,609,052,100
  5. Step 5: Solve for x
    x = 4,609,052,100/31,929
  6. Step 6: Final answer
    x = 144,353.16

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.