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Finding the Third Proportional to 5,711 and 6,467

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Solution

The third proportional to 5,711 and 6,467 is: 7,323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711 : 6,467 = 6,467 : x
  2. Step 2: Convert to fraction form
    5,711/6,467 = 6,467/x
  3. Step 3: Cross multiply
    5,711x = 6,467 × 6,467
  4. Step 4: Simplify right side
    5,711x = 41,822,089
  5. Step 5: Solve for x
    x = 41,822,089/5,711
  6. Step 6: Final answer
    x = 7,323.08

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.