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Finding the Third Proportional to 48,306.75 and 72,824.75

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Solution

The third proportional to 48,306.75 and 72,824.75 is: 109,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,306.75 : 72,824.75 = 72,824.75 : x
  2. Step 2: Convert to fraction form
    48,306.75/72,824.75 = 72,824.75/x
  3. Step 3: Cross multiply
    48,306.75x = 72,824.75 × 72,824.75
  4. Step 4: Simplify right side
    48,306.75x = 5,303,444,212.56
  5. Step 5: Solve for x
    x = 5,303,444,212.56/48,306.75
  6. Step 6: Final answer
    x = 109,786.81

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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.