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Finding the Third Proportional to 4,042 and 5,723

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Solution

The third proportional to 4,042 and 5,723 is: 8,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042 : 5,723 = 5,723 : x
  2. Step 2: Convert to fraction form
    4,042/5,723 = 5,723/x
  3. Step 3: Cross multiply
    4,042x = 5,723 × 5,723
  4. Step 4: Simplify right side
    4,042x = 32,752,729
  5. Step 5: Solve for x
    x = 32,752,729/4,042
  6. Step 6: Final answer
    x = 8,103.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.