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Finding the Third Proportional to 5,684 and 6,300

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Solution

The third proportional to 5,684 and 6,300 is: 6,982.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684 : 6,300 = 6,300 : x
  2. Step 2: Convert to fraction form
    5,684/6,300 = 6,300/x
  3. Step 3: Cross multiply
    5,684x = 6,300 × 6,300
  4. Step 4: Simplify right side
    5,684x = 39,690,000
  5. Step 5: Solve for x
    x = 39,690,000/5,684
  6. Step 6: Final answer
    x = 6,982.76

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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.