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Finding the Third Proportional to 1,661 and 2,329

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Solution

The third proportional to 1,661 and 2,329 is: 3,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661 : 2,329 = 2,329 : x
  2. Step 2: Convert to fraction form
    1,661/2,329 = 2,329/x
  3. Step 3: Cross multiply
    1,661x = 2,329 × 2,329
  4. Step 4: Simplify right side
    1,661x = 5,424,241
  5. Step 5: Solve for x
    x = 5,424,241/1,661
  6. Step 6: Final answer
    x = 3,265.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.