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Finding the Third Proportional to 2,716.03 and 5,950.97

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Solution

The third proportional to 2,716.03 and 5,950.97 is: 13,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.03 : 5,950.97 = 5,950.97 : x
  2. Step 2: Convert to fraction form
    2,716.03/5,950.97 = 5,950.97/x
  3. Step 3: Cross multiply
    2,716.03x = 5,950.97 × 5,950.97
  4. Step 4: Simplify right side
    2,716.03x = 35,414,029.06
  5. Step 5: Solve for x
    x = 35,414,029.06/2,716.03
  6. Step 6: Final answer
    x = 13,038.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.