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Finding the Third Proportional to 24,822 and 48,398

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Solution

The third proportional to 24,822 and 48,398 is: 94,366.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822 : 48,398 = 48,398 : x
  2. Step 2: Convert to fraction form
    24,822/48,398 = 48,398/x
  3. Step 3: Cross multiply
    24,822x = 48,398 × 48,398
  4. Step 4: Simplify right side
    24,822x = 2,342,366,404
  5. Step 5: Solve for x
    x = 2,342,366,404/24,822
  6. Step 6: Final answer
    x = 94,366.55

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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.