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Finding the Third Proportional to 31,614 and 67,726

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Solution

The third proportional to 31,614 and 67,726 is: 145,087.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614 : 67,726 = 67,726 : x
  2. Step 2: Convert to fraction form
    31,614/67,726 = 67,726/x
  3. Step 3: Cross multiply
    31,614x = 67,726 × 67,726
  4. Step 4: Simplify right side
    31,614x = 4,586,811,076
  5. Step 5: Solve for x
    x = 4,586,811,076/31,614
  6. Step 6: Final answer
    x = 145,087.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.