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Finding the Third Proportional to 5,832 and 6,376

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Solution

The third proportional to 5,832 and 6,376 is: 6,970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832 : 6,376 = 6,376 : x
  2. Step 2: Convert to fraction form
    5,832/6,376 = 6,376/x
  3. Step 3: Cross multiply
    5,832x = 6,376 × 6,376
  4. Step 4: Simplify right side
    5,832x = 40,653,376
  5. Step 5: Solve for x
    x = 40,653,376/5,832
  6. Step 6: Final answer
    x = 6,970.74

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.