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Finding the Third Proportional to 20,414 and 43,272

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Solution

The third proportional to 20,414 and 43,272 is: 91,724.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414 : 43,272 = 43,272 : x
  2. Step 2: Convert to fraction form
    20,414/43,272 = 43,272/x
  3. Step 3: Cross multiply
    20,414x = 43,272 × 43,272
  4. Step 4: Simplify right side
    20,414x = 1,872,465,984
  5. Step 5: Solve for x
    x = 1,872,465,984/20,414
  6. Step 6: Final answer
    x = 91,724.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.