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Finding the Third Proportional to 48,381 and 74,760

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Solution

The third proportional to 48,381 and 74,760 is: 115,521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,381 : 74,760 = 74,760 : x
  2. Step 2: Convert to fraction form
    48,381/74,760 = 74,760/x
  3. Step 3: Cross multiply
    48,381x = 74,760 × 74,760
  4. Step 4: Simplify right side
    48,381x = 5,589,057,600
  5. Step 5: Solve for x
    x = 5,589,057,600/48,381
  6. Step 6: Final answer
    x = 115,521.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.