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Finding the Third Proportional to 3,142 and 5,052

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Solution

The third proportional to 3,142 and 5,052 is: 8,123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142 : 5,052 = 5,052 : x
  2. Step 2: Convert to fraction form
    3,142/5,052 = 5,052/x
  3. Step 3: Cross multiply
    3,142x = 5,052 × 5,052
  4. Step 4: Simplify right side
    3,142x = 25,522,704
  5. Step 5: Solve for x
    x = 25,522,704/3,142
  6. Step 6: Final answer
    x = 8,123.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.