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Finding the Third Proportional to 31,040 and 67,000

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Solution

The third proportional to 31,040 and 67,000 is: 144,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,040 : 67,000 = 67,000 : x
  2. Step 2: Convert to fraction form
    31,040/67,000 = 67,000/x
  3. Step 3: Cross multiply
    31,040x = 67,000 × 67,000
  4. Step 4: Simplify right side
    31,040x = 4,489,000,000
  5. Step 5: Solve for x
    x = 4,489,000,000/31,040
  6. Step 6: Final answer
    x = 144,619.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.