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Finding the Third Proportional to 2,176.64 and 3,269.91

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Solution

The third proportional to 2,176.64 and 3,269.91 is: 4,912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.64 : 3,269.91 = 3,269.91 : x
  2. Step 2: Convert to fraction form
    2,176.64/3,269.91 = 3,269.91/x
  3. Step 3: Cross multiply
    2,176.64x = 3,269.91 × 3,269.91
  4. Step 4: Simplify right side
    2,176.64x = 10,692,286.88
  5. Step 5: Solve for x
    x = 10,692,286.88/2,176.64
  6. Step 6: Final answer
    x = 4,912.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.