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Finding the Third Proportional to 2,322.42 and 3,019.78

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Solution

The third proportional to 2,322.42 and 3,019.78 is: 3,926.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.42 : 3,019.78 = 3,019.78 : x
  2. Step 2: Convert to fraction form
    2,322.42/3,019.78 = 3,019.78/x
  3. Step 3: Cross multiply
    2,322.42x = 3,019.78 × 3,019.78
  4. Step 4: Simplify right side
    2,322.42x = 9,119,078.80
  5. Step 5: Solve for x
    x = 9,119,078.80/2,322.42
  6. Step 6: Final answer
    x = 3,926.54

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.