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Finding the Third Proportional to 3,002 and 6,438

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Solution

The third proportional to 3,002 and 6,438 is: 13,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002 : 6,438 = 6,438 : x
  2. Step 2: Convert to fraction form
    3,002/6,438 = 6,438/x
  3. Step 3: Cross multiply
    3,002x = 6,438 × 6,438
  4. Step 4: Simplify right side
    3,002x = 41,447,844
  5. Step 5: Solve for x
    x = 41,447,844/3,002
  6. Step 6: Final answer
    x = 13,806.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.