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Finding the Third Proportional to 2,020.78 and 3,165.33

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Solution

The third proportional to 2,020.78 and 3,165.33 is: 4,958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.78 : 3,165.33 = 3,165.33 : x
  2. Step 2: Convert to fraction form
    2,020.78/3,165.33 = 3,165.33/x
  3. Step 3: Cross multiply
    2,020.78x = 3,165.33 × 3,165.33
  4. Step 4: Simplify right side
    2,020.78x = 10,019,302.14
  5. Step 5: Solve for x
    x = 10,019,302.14/2,020.78
  6. Step 6: Final answer
    x = 4,958.13

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.