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Finding the Third Proportional to 24,198 and 36,502

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Solution

The third proportional to 24,198 and 36,502 is: 55,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198 : 36,502 = 36,502 : x
  2. Step 2: Convert to fraction form
    24,198/36,502 = 36,502/x
  3. Step 3: Cross multiply
    24,198x = 36,502 × 36,502
  4. Step 4: Simplify right side
    24,198x = 1,332,396,004
  5. Step 5: Solve for x
    x = 1,332,396,004/24,198
  6. Step 6: Final answer
    x = 55,062.24

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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.