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Finding the Third Proportional to 2,995.38 and 3,926.03

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Solution

The third proportional to 2,995.38 and 3,926.03 is: 5,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.38 : 3,926.03 = 3,926.03 : x
  2. Step 2: Convert to fraction form
    2,995.38/3,926.03 = 3,926.03/x
  3. Step 3: Cross multiply
    2,995.38x = 3,926.03 × 3,926.03
  4. Step 4: Simplify right side
    2,995.38x = 15,413,696.45
  5. Step 5: Solve for x
    x = 15,413,696.45/2,995.38
  6. Step 6: Final answer
    x = 5,145.83

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.