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Finding the Third Proportional to 24,238 and 51,932

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Solution

The third proportional to 24,238 and 51,932 is: 111,268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,238 : 51,932 = 51,932 : x
  2. Step 2: Convert to fraction form
    24,238/51,932 = 51,932/x
  3. Step 3: Cross multiply
    24,238x = 51,932 × 51,932
  4. Step 4: Simplify right side
    24,238x = 2,696,932,624
  5. Step 5: Solve for x
    x = 2,696,932,624/24,238
  6. Step 6: Final answer
    x = 111,268.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.