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Finding the Third Proportional to 24,922.69 and 48,613.92

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Solution

The third proportional to 24,922.69 and 48,613.92 is: 94,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,922.69 : 48,613.92 = 48,613.92 : x
  2. Step 2: Convert to fraction form
    24,922.69/48,613.92 = 48,613.92/x
  3. Step 3: Cross multiply
    24,922.69x = 48,613.92 × 48,613.92
  4. Step 4: Simplify right side
    24,922.69x = 2,363,313,400.07
  5. Step 5: Solve for x
    x = 2,363,313,400.07/24,922.69
  6. Step 6: Final answer
    x = 94,825.78

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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.