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Finding the Third Proportional to 7,944.38 and 17,271.75

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Solution

The third proportional to 7,944.38 and 17,271.75 is: 37,550.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.38 : 17,271.75 = 17,271.75 : x
  2. Step 2: Convert to fraction form
    7,944.38/17,271.75 = 17,271.75/x
  3. Step 3: Cross multiply
    7,944.38x = 17,271.75 × 17,271.75
  4. Step 4: Simplify right side
    7,944.38x = 298,313,348.06
  5. Step 5: Solve for x
    x = 298,313,348.06/7,944.38
  6. Step 6: Final answer
    x = 37,550.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.