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Finding the Third Proportional to 9,832 and 11,464

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Solution

The third proportional to 9,832 and 11,464 is: 13,366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832 : 11,464 = 11,464 : x
  2. Step 2: Convert to fraction form
    9,832/11,464 = 11,464/x
  3. Step 3: Cross multiply
    9,832x = 11,464 × 11,464
  4. Step 4: Simplify right side
    9,832x = 131,423,296
  5. Step 5: Solve for x
    x = 131,423,296/9,832
  6. Step 6: Final answer
    x = 13,366.89

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.