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Finding the Third Proportional to 4,142 and 8,074

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Solution

The third proportional to 4,142 and 8,074 is: 15,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142 : 8,074 = 8,074 : x
  2. Step 2: Convert to fraction form
    4,142/8,074 = 8,074/x
  3. Step 3: Cross multiply
    4,142x = 8,074 × 8,074
  4. Step 4: Simplify right side
    4,142x = 65,189,476
  5. Step 5: Solve for x
    x = 65,189,476/4,142
  6. Step 6: Final answer
    x = 15,738.65

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.