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Finding the Third Proportional to 1,566 and 3,274

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Solution

The third proportional to 1,566 and 3,274 is: 6,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566 : 3,274 = 3,274 : x
  2. Step 2: Convert to fraction form
    1,566/3,274 = 3,274/x
  3. Step 3: Cross multiply
    1,566x = 3,274 × 3,274
  4. Step 4: Simplify right side
    1,566x = 10,719,076
  5. Step 5: Solve for x
    x = 10,719,076/1,566
  6. Step 6: Final answer
    x = 6,844.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.