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Finding the Third Proportional to 1,569 and 3,396.75

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Solution

The third proportional to 1,569 and 3,396.75 is: 7,353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569 : 3,396.75 = 3,396.75 : x
  2. Step 2: Convert to fraction form
    1,569/3,396.75 = 3,396.75/x
  3. Step 3: Cross multiply
    1,569x = 3,396.75 × 3,396.75
  4. Step 4: Simplify right side
    1,569x = 11,537,910.56
  5. Step 5: Solve for x
    x = 11,537,910.56/1,569
  6. Step 6: Final answer
    x = 7,353.67

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Why These Related Problems?

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