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Finding the Third Proportional to 2,872.13 and 3,297.38

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Solution

The third proportional to 2,872.13 and 3,297.38 is: 3,785.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.13 : 3,297.38 = 3,297.38 : x
  2. Step 2: Convert to fraction form
    2,872.13/3,297.38 = 3,297.38/x
  3. Step 3: Cross multiply
    2,872.13x = 3,297.38 × 3,297.38
  4. Step 4: Simplify right side
    2,872.13x = 10,872,681.89
  5. Step 5: Solve for x
    x = 10,872,681.89/2,872.13
  6. Step 6: Final answer
    x = 3,785.59

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.