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Finding the Third Proportional to 24,592 and 50,048

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Solution

The third proportional to 24,592 and 50,048 is: 101,854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,592 : 50,048 = 50,048 : x
  2. Step 2: Convert to fraction form
    24,592/50,048 = 50,048/x
  3. Step 3: Cross multiply
    24,592x = 50,048 × 50,048
  4. Step 4: Simplify right side
    24,592x = 2,504,802,304
  5. Step 5: Solve for x
    x = 2,504,802,304/24,592
  6. Step 6: Final answer
    x = 101,854.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.