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Finding the Third Proportional to 3,071 and 3,269

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Solution

The third proportional to 3,071 and 3,269 is: 3,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071 : 3,269 = 3,269 : x
  2. Step 2: Convert to fraction form
    3,071/3,269 = 3,269/x
  3. Step 3: Cross multiply
    3,071x = 3,269 × 3,269
  4. Step 4: Simplify right side
    3,071x = 10,686,361
  5. Step 5: Solve for x
    x = 10,686,361/3,071
  6. Step 6: Final answer
    x = 3,479.77

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.