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Finding the Third Proportional to 2,759 and 3,666

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Solution

The third proportional to 2,759 and 3,666 is: 4,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759 : 3,666 = 3,666 : x
  2. Step 2: Convert to fraction form
    2,759/3,666 = 3,666/x
  3. Step 3: Cross multiply
    2,759x = 3,666 × 3,666
  4. Step 4: Simplify right side
    2,759x = 13,439,556
  5. Step 5: Solve for x
    x = 13,439,556/2,759
  6. Step 6: Final answer
    x = 4,871.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.