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Finding the Third Proportional to 3,002 and 5,320

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Solution

The third proportional to 3,002 and 5,320 is: 9,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002 : 5,320 = 5,320 : x
  2. Step 2: Convert to fraction form
    3,002/5,320 = 5,320/x
  3. Step 3: Cross multiply
    3,002x = 5,320 × 5,320
  4. Step 4: Simplify right side
    3,002x = 28,302,400
  5. Step 5: Solve for x
    x = 28,302,400/3,002
  6. Step 6: Final answer
    x = 9,427.85

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.