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Finding the Third Proportional to 3,142 and 5,021

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Solution

The third proportional to 3,142 and 5,021 is: 8,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142 : 5,021 = 5,021 : x
  2. Step 2: Convert to fraction form
    3,142/5,021 = 5,021/x
  3. Step 3: Cross multiply
    3,142x = 5,021 × 5,021
  4. Step 4: Simplify right side
    3,142x = 25,210,441
  5. Step 5: Solve for x
    x = 25,210,441/3,142
  6. Step 6: Final answer
    x = 8,023.69

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.