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Finding the Third Proportional to 9,832 and 18,320

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Solution

The third proportional to 9,832 and 18,320 is: 34,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832 : 18,320 = 18,320 : x
  2. Step 2: Convert to fraction form
    9,832/18,320 = 18,320/x
  3. Step 3: Cross multiply
    9,832x = 18,320 × 18,320
  4. Step 4: Simplify right side
    9,832x = 335,622,400
  5. Step 5: Solve for x
    x = 335,622,400/9,832
  6. Step 6: Final answer
    x = 34,135.72

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.