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Finding the Third Proportional to 20,414 and 44,311

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Solution

The third proportional to 20,414 and 44,311 is: 96,182.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414 : 44,311 = 44,311 : x
  2. Step 2: Convert to fraction form
    20,414/44,311 = 44,311/x
  3. Step 3: Cross multiply
    20,414x = 44,311 × 44,311
  4. Step 4: Simplify right side
    20,414x = 1,963,464,721
  5. Step 5: Solve for x
    x = 1,963,464,721/20,414
  6. Step 6: Final answer
    x = 96,182.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.