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Finding the Third Proportional to 3,742 and 9,079

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Solution

The third proportional to 3,742 and 9,079 is: 22,027.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742 : 9,079 = 9,079 : x
  2. Step 2: Convert to fraction form
    3,742/9,079 = 9,079/x
  3. Step 3: Cross multiply
    3,742x = 9,079 × 9,079
  4. Step 4: Simplify right side
    3,742x = 82,428,241
  5. Step 5: Solve for x
    x = 82,428,241/3,742
  6. Step 6: Final answer
    x = 22,027.86

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.