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Finding the Third Proportional to 7,410.94 and 17,493.82

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Solution

The third proportional to 7,410.94 and 17,493.82 is: 41,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410.94 : 17,493.82 = 17,493.82 : x
  2. Step 2: Convert to fraction form
    7,410.94/17,493.82 = 17,493.82/x
  3. Step 3: Cross multiply
    7,410.94x = 17,493.82 × 17,493.82
  4. Step 4: Simplify right side
    7,410.94x = 306,033,749.13
  5. Step 5: Solve for x
    x = 306,033,749.13/7,410.94
  6. Step 6: Final answer
    x = 41,294.88

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.