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Finding the Third Proportional to 48,744 and 73,650

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Solution

The third proportional to 48,744 and 73,650 is: 111,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,744 : 73,650 = 73,650 : x
  2. Step 2: Convert to fraction form
    48,744/73,650 = 73,650/x
  3. Step 3: Cross multiply
    48,744x = 73,650 × 73,650
  4. Step 4: Simplify right side
    48,744x = 5,424,322,500
  5. Step 5: Solve for x
    x = 5,424,322,500/48,744
  6. Step 6: Final answer
    x = 111,281.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.