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Finding the Third Proportional to 1,566 and 3,375

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Solution

The third proportional to 1,566 and 3,375 is: 7,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566 : 3,375 = 3,375 : x
  2. Step 2: Convert to fraction form
    1,566/3,375 = 3,375/x
  3. Step 3: Cross multiply
    1,566x = 3,375 × 3,375
  4. Step 4: Simplify right side
    1,566x = 11,390,625
  5. Step 5: Solve for x
    x = 11,390,625/1,566
  6. Step 6: Final answer
    x = 7,273.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.