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Finding the Third Proportional to 3,197 and 5,674

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Solution

The third proportional to 3,197 and 5,674 is: 10,070.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197 : 5,674 = 5,674 : x
  2. Step 2: Convert to fraction form
    3,197/5,674 = 5,674/x
  3. Step 3: Cross multiply
    3,197x = 5,674 × 5,674
  4. Step 4: Simplify right side
    3,197x = 32,194,276
  5. Step 5: Solve for x
    x = 32,194,276/3,197
  6. Step 6: Final answer
    x = 10,070.15

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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.