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Finding the Third Proportional to 3,469 and 5,320

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Solution

The third proportional to 3,469 and 5,320 is: 8,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469 : 5,320 = 5,320 : x
  2. Step 2: Convert to fraction form
    3,469/5,320 = 5,320/x
  3. Step 3: Cross multiply
    3,469x = 5,320 × 5,320
  4. Step 4: Simplify right side
    3,469x = 28,302,400
  5. Step 5: Solve for x
    x = 28,302,400/3,469
  6. Step 6: Final answer
    x = 8,158.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.