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Finding the Third Proportional to 20,468 and 31,249

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Solution

The third proportional to 20,468 and 31,249 is: 47,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,468 : 31,249 = 31,249 : x
  2. Step 2: Convert to fraction form
    20,468/31,249 = 31,249/x
  3. Step 3: Cross multiply
    20,468x = 31,249 × 31,249
  4. Step 4: Simplify right side
    20,468x = 976,500,001
  5. Step 5: Solve for x
    x = 976,500,001/20,468
  6. Step 6: Final answer
    x = 47,708.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.