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Finding the Third Proportional to 36,414 and 49,431

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Solution

The third proportional to 36,414 and 49,431 is: 67,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414 : 49,431 = 49,431 : x
  2. Step 2: Convert to fraction form
    36,414/49,431 = 49,431/x
  3. Step 3: Cross multiply
    36,414x = 49,431 × 49,431
  4. Step 4: Simplify right side
    36,414x = 2,443,423,761
  5. Step 5: Solve for x
    x = 2,443,423,761/36,414
  6. Step 6: Final answer
    x = 67,101.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.