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Finding the Third Proportional to 1,566 and 3,306

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Solution

The third proportional to 1,566 and 3,306 is: 6,979.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566 : 3,306 = 3,306 : x
  2. Step 2: Convert to fraction form
    1,566/3,306 = 3,306/x
  3. Step 3: Cross multiply
    1,566x = 3,306 × 3,306
  4. Step 4: Simplify right side
    1,566x = 10,929,636
  5. Step 5: Solve for x
    x = 10,929,636/1,566
  6. Step 6: Final answer
    x = 6,979.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.