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Finding the Third Proportional to 24,974 and 55,238

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Solution

The third proportional to 24,974 and 55,238 is: 122,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,974 : 55,238 = 55,238 : x
  2. Step 2: Convert to fraction form
    24,974/55,238 = 55,238/x
  3. Step 3: Cross multiply
    24,974x = 55,238 × 55,238
  4. Step 4: Simplify right side
    24,974x = 3,051,236,644
  5. Step 5: Solve for x
    x = 3,051,236,644/24,974
  6. Step 6: Final answer
    x = 122,176.53

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.