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Finding the Third Proportional to 2,704.22 and 4,121.72

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Solution

The third proportional to 2,704.22 and 4,121.72 is: 6,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.22 : 4,121.72 = 4,121.72 : x
  2. Step 2: Convert to fraction form
    2,704.22/4,121.72 = 4,121.72/x
  3. Step 3: Cross multiply
    2,704.22x = 4,121.72 × 4,121.72
  4. Step 4: Simplify right side
    2,704.22x = 16,988,565.45
  5. Step 5: Solve for x
    x = 16,988,565.45/2,704.22
  6. Step 6: Final answer
    x = 6,282.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.