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Finding the Third Proportional to 11,207 and 24,142

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Solution

The third proportional to 11,207 and 24,142 is: 52,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,207 : 24,142 = 24,142 : x
  2. Step 2: Convert to fraction form
    11,207/24,142 = 24,142/x
  3. Step 3: Cross multiply
    11,207x = 24,142 × 24,142
  4. Step 4: Simplify right side
    11,207x = 582,836,164
  5. Step 5: Solve for x
    x = 582,836,164/11,207
  6. Step 6: Final answer
    x = 52,006.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.