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Finding the Third Proportional to 7,401.94 and 15,635.53

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Solution

The third proportional to 7,401.94 and 15,635.53 is: 33,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.94 : 15,635.53 = 15,635.53 : x
  2. Step 2: Convert to fraction form
    7,401.94/15,635.53 = 15,635.53/x
  3. Step 3: Cross multiply
    7,401.94x = 15,635.53 × 15,635.53
  4. Step 4: Simplify right side
    7,401.94x = 244,469,837.47
  5. Step 5: Solve for x
    x = 244,469,837.47/7,401.94
  6. Step 6: Final answer
    x = 33,027.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.