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Finding the Third Proportional to 9,434 and 20,317

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Solution

The third proportional to 9,434 and 20,317 is: 43,754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434 : 20,317 = 20,317 : x
  2. Step 2: Convert to fraction form
    9,434/20,317 = 20,317/x
  3. Step 3: Cross multiply
    9,434x = 20,317 × 20,317
  4. Step 4: Simplify right side
    9,434x = 412,780,489
  5. Step 5: Solve for x
    x = 412,780,489/9,434
  6. Step 6: Final answer
    x = 43,754.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.