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Finding the Third Proportional to 22,401 and 31,397

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Solution

The third proportional to 22,401 and 31,397 is: 44,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,401 : 31,397 = 31,397 : x
  2. Step 2: Convert to fraction form
    22,401/31,397 = 31,397/x
  3. Step 3: Cross multiply
    22,401x = 31,397 × 31,397
  4. Step 4: Simplify right side
    22,401x = 985,771,609
  5. Step 5: Solve for x
    x = 985,771,609/22,401
  6. Step 6: Final answer
    x = 44,005.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.