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Finding the Third Proportional to 24,759 and 48,277.69

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Solution

The third proportional to 24,759 and 48,277.69 is: 94,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,759 : 48,277.69 = 48,277.69 : x
  2. Step 2: Convert to fraction form
    24,759/48,277.69 = 48,277.69/x
  3. Step 3: Cross multiply
    24,759x = 48,277.69 × 48,277.69
  4. Step 4: Simplify right side
    24,759x = 2,330,735,110.35
  5. Step 5: Solve for x
    x = 2,330,735,110.35/24,759
  6. Step 6: Final answer
    x = 94,136.88

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.