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Finding the Third Proportional to 1,635.61 and 3,576.66

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Solution

The third proportional to 1,635.61 and 3,576.66 is: 7,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.61 : 3,576.66 = 3,576.66 : x
  2. Step 2: Convert to fraction form
    1,635.61/3,576.66 = 3,576.66/x
  3. Step 3: Cross multiply
    1,635.61x = 3,576.66 × 3,576.66
  4. Step 4: Simplify right side
    1,635.61x = 12,792,469.93
  5. Step 5: Solve for x
    x = 12,792,469.93/1,635.61
  6. Step 6: Final answer
    x = 7,821.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.