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Finding the Third Proportional to 12,427 and 24,230

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Solution

The third proportional to 12,427 and 24,230 is: 47,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427 : 24,230 = 24,230 : x
  2. Step 2: Convert to fraction form
    12,427/24,230 = 24,230/x
  3. Step 3: Cross multiply
    12,427x = 24,230 × 24,230
  4. Step 4: Simplify right side
    12,427x = 587,092,900
  5. Step 5: Solve for x
    x = 587,092,900/12,427
  6. Step 6: Final answer
    x = 47,243.33

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.