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Finding the Third Proportional to 4,200 and 5,463

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Solution

The third proportional to 4,200 and 5,463 is: 7,105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200 : 5,463 = 5,463 : x
  2. Step 2: Convert to fraction form
    4,200/5,463 = 5,463/x
  3. Step 3: Cross multiply
    4,200x = 5,463 × 5,463
  4. Step 4: Simplify right side
    4,200x = 29,844,369
  5. Step 5: Solve for x
    x = 29,844,369/4,200
  6. Step 6: Final answer
    x = 7,105.80

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.