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Finding the Third Proportional to 3,612 and 5,764

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Solution

The third proportional to 3,612 and 5,764 is: 9,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612 : 5,764 = 5,764 : x
  2. Step 2: Convert to fraction form
    3,612/5,764 = 5,764/x
  3. Step 3: Cross multiply
    3,612x = 5,764 × 5,764
  4. Step 4: Simplify right side
    3,612x = 33,223,696
  5. Step 5: Solve for x
    x = 33,223,696/3,612
  6. Step 6: Final answer
    x = 9,198.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.