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Finding the Third Proportional to 3,134 and 5,524

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Solution

The third proportional to 3,134 and 5,524 is: 9,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134 : 5,524 = 5,524 : x
  2. Step 2: Convert to fraction form
    3,134/5,524 = 5,524/x
  3. Step 3: Cross multiply
    3,134x = 5,524 × 5,524
  4. Step 4: Simplify right side
    3,134x = 30,514,576
  5. Step 5: Solve for x
    x = 30,514,576/3,134
  6. Step 6: Final answer
    x = 9,736.62

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.