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Finding the Third Proportional to 31,274 and 67,480

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Solution

The third proportional to 31,274 and 67,480 is: 145,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274 : 67,480 = 67,480 : x
  2. Step 2: Convert to fraction form
    31,274/67,480 = 67,480/x
  3. Step 3: Cross multiply
    31,274x = 67,480 × 67,480
  4. Step 4: Simplify right side
    31,274x = 4,553,550,400
  5. Step 5: Solve for x
    x = 4,553,550,400/31,274
  6. Step 6: Final answer
    x = 145,601.79

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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.