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Finding the Third Proportional to 3,660 and 5,964

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Solution

The third proportional to 3,660 and 5,964 is: 9,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660 : 5,964 = 5,964 : x
  2. Step 2: Convert to fraction form
    3,660/5,964 = 5,964/x
  3. Step 3: Cross multiply
    3,660x = 5,964 × 5,964
  4. Step 4: Simplify right side
    3,660x = 35,569,296
  5. Step 5: Solve for x
    x = 35,569,296/3,660
  6. Step 6: Final answer
    x = 9,718.39

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.