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Finding the Third Proportional to 54,738 and 71,874

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Solution

The third proportional to 54,738 and 71,874 is: 94,374.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,738 : 71,874 = 71,874 : x
  2. Step 2: Convert to fraction form
    54,738/71,874 = 71,874/x
  3. Step 3: Cross multiply
    54,738x = 71,874 × 71,874
  4. Step 4: Simplify right side
    54,738x = 5,165,871,876
  5. Step 5: Solve for x
    x = 5,165,871,876/54,738
  6. Step 6: Final answer
    x = 94,374.51

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.