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Finding the Third Proportional to 24,230 and 51,966

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Solution

The third proportional to 24,230 and 51,966 is: 111,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230 : 51,966 = 51,966 : x
  2. Step 2: Convert to fraction form
    24,230/51,966 = 51,966/x
  3. Step 3: Cross multiply
    24,230x = 51,966 × 51,966
  4. Step 4: Simplify right side
    24,230x = 2,700,465,156
  5. Step 5: Solve for x
    x = 2,700,465,156/24,230
  6. Step 6: Final answer
    x = 111,451.31

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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.