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Finding the Third Proportional to 9,295 and 20,317

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Solution

The third proportional to 9,295 and 20,317 is: 44,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295 : 20,317 = 20,317 : x
  2. Step 2: Convert to fraction form
    9,295/20,317 = 20,317/x
  3. Step 3: Cross multiply
    9,295x = 20,317 × 20,317
  4. Step 4: Simplify right side
    9,295x = 412,780,489
  5. Step 5: Solve for x
    x = 412,780,489/9,295
  6. Step 6: Final answer
    x = 44,408.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.