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Finding the Third Proportional to 6,680 and 7,432

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Solution

The third proportional to 6,680 and 7,432 is: 8,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680 : 7,432 = 7,432 : x
  2. Step 2: Convert to fraction form
    6,680/7,432 = 7,432/x
  3. Step 3: Cross multiply
    6,680x = 7,432 × 7,432
  4. Step 4: Simplify right side
    6,680x = 55,234,624
  5. Step 5: Solve for x
    x = 55,234,624/6,680
  6. Step 6: Final answer
    x = 8,268.66

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.