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Finding the Third Proportional to 10,870 and 21,401

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Solution

The third proportional to 10,870 and 21,401 is: 42,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870 : 21,401 = 21,401 : x
  2. Step 2: Convert to fraction form
    10,870/21,401 = 21,401/x
  3. Step 3: Cross multiply
    10,870x = 21,401 × 21,401
  4. Step 4: Simplify right side
    10,870x = 458,002,801
  5. Step 5: Solve for x
    x = 458,002,801/10,870
  6. Step 6: Final answer
    x = 42,134.57

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.