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Finding the Third Proportional to 3,177 and 3,497

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Solution

The third proportional to 3,177 and 3,497 is: 3,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177 : 3,497 = 3,497 : x
  2. Step 2: Convert to fraction form
    3,177/3,497 = 3,497/x
  3. Step 3: Cross multiply
    3,177x = 3,497 × 3,497
  4. Step 4: Simplify right side
    3,177x = 12,229,009
  5. Step 5: Solve for x
    x = 12,229,009/3,177
  6. Step 6: Final answer
    x = 3,849.23

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.