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Finding the Third Proportional to 48,759 and 72,816.75

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Solution

The third proportional to 48,759 and 72,816.75 is: 108,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,759 : 72,816.75 = 72,816.75 : x
  2. Step 2: Convert to fraction form
    48,759/72,816.75 = 72,816.75/x
  3. Step 3: Cross multiply
    48,759x = 72,816.75 × 72,816.75
  4. Step 4: Simplify right side
    48,759x = 5,302,279,080.56
  5. Step 5: Solve for x
    x = 5,302,279,080.56/48,759
  6. Step 6: Final answer
    x = 108,744.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.