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Finding the Third Proportional to 5,952 and 10,680

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Solution

The third proportional to 5,952 and 10,680 is: 19,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952 : 10,680 = 10,680 : x
  2. Step 2: Convert to fraction form
    5,952/10,680 = 10,680/x
  3. Step 3: Cross multiply
    5,952x = 10,680 × 10,680
  4. Step 4: Simplify right side
    5,952x = 114,062,400
  5. Step 5: Solve for x
    x = 114,062,400/5,952
  6. Step 6: Final answer
    x = 19,163.71

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.