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Finding the Third Proportional to 4,463 and 6,911

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Solution

The third proportional to 4,463 and 6,911 is: 10,701.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463 : 6,911 = 6,911 : x
  2. Step 2: Convert to fraction form
    4,463/6,911 = 6,911/x
  3. Step 3: Cross multiply
    4,463x = 6,911 × 6,911
  4. Step 4: Simplify right side
    4,463x = 47,761,921
  5. Step 5: Solve for x
    x = 47,761,921/4,463
  6. Step 6: Final answer
    x = 10,701.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.