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Finding the Third Proportional to 5,002 and 7,079

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Solution

The third proportional to 5,002 and 7,079 is: 10,018.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002 : 7,079 = 7,079 : x
  2. Step 2: Convert to fraction form
    5,002/7,079 = 7,079/x
  3. Step 3: Cross multiply
    5,002x = 7,079 × 7,079
  4. Step 4: Simplify right side
    5,002x = 50,112,241
  5. Step 5: Solve for x
    x = 50,112,241/5,002
  6. Step 6: Final answer
    x = 10,018.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.