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Finding the Third Proportional to 4,062 and 4,782

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Solution

The third proportional to 4,062 and 4,782 is: 5,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062 : 4,782 = 4,782 : x
  2. Step 2: Convert to fraction form
    4,062/4,782 = 4,782/x
  3. Step 3: Cross multiply
    4,062x = 4,782 × 4,782
  4. Step 4: Simplify right side
    4,062x = 22,867,524
  5. Step 5: Solve for x
    x = 22,867,524/4,062
  6. Step 6: Final answer
    x = 5,629.62

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.