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Finding the Third Proportional to 12,401 and 29,251

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Solution

The third proportional to 12,401 and 29,251 is: 68,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401 : 29,251 = 29,251 : x
  2. Step 2: Convert to fraction form
    12,401/29,251 = 29,251/x
  3. Step 3: Cross multiply
    12,401x = 29,251 × 29,251
  4. Step 4: Simplify right side
    12,401x = 855,621,001
  5. Step 5: Solve for x
    x = 855,621,001/12,401
  6. Step 6: Final answer
    x = 68,996.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.