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Finding the Third Proportional to 5,792 and 6,400

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Solution

The third proportional to 5,792 and 6,400 is: 7,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792 : 6,400 = 6,400 : x
  2. Step 2: Convert to fraction form
    5,792/6,400 = 6,400/x
  3. Step 3: Cross multiply
    5,792x = 6,400 × 6,400
  4. Step 4: Simplify right side
    5,792x = 40,960,000
  5. Step 5: Solve for x
    x = 40,960,000/5,792
  6. Step 6: Final answer
    x = 7,071.82

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.