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Finding the Third Proportional to 7,956.14 and 17,338.85

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Solution

The third proportional to 7,956.14 and 17,338.85 is: 37,786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.14 : 17,338.85 = 17,338.85 : x
  2. Step 2: Convert to fraction form
    7,956.14/17,338.85 = 17,338.85/x
  3. Step 3: Cross multiply
    7,956.14x = 17,338.85 × 17,338.85
  4. Step 4: Simplify right side
    7,956.14x = 300,635,773.51
  5. Step 5: Solve for x
    x = 300,635,773.51/7,956.14
  6. Step 6: Final answer
    x = 37,786.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.