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Finding the Third Proportional to 24,530 and 51,922

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Solution

The third proportional to 24,530 and 51,922 is: 109,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,530 : 51,922 = 51,922 : x
  2. Step 2: Convert to fraction form
    24,530/51,922 = 51,922/x
  3. Step 3: Cross multiply
    24,530x = 51,922 × 51,922
  4. Step 4: Simplify right side
    24,530x = 2,695,894,084
  5. Step 5: Solve for x
    x = 2,695,894,084/24,530
  6. Step 6: Final answer
    x = 109,901.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.