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Finding the Third Proportional to 1,759 and 3,704

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Solution

The third proportional to 1,759 and 3,704 is: 7,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759 : 3,704 = 3,704 : x
  2. Step 2: Convert to fraction form
    1,759/3,704 = 3,704/x
  3. Step 3: Cross multiply
    1,759x = 3,704 × 3,704
  4. Step 4: Simplify right side
    1,759x = 13,719,616
  5. Step 5: Solve for x
    x = 13,719,616/1,759
  6. Step 6: Final answer
    x = 7,799.67

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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.