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Finding the Third Proportional to 1,624.78 and 3,540.94

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Solution

The third proportional to 1,624.78 and 3,540.94 is: 7,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.78 : 3,540.94 = 3,540.94 : x
  2. Step 2: Convert to fraction form
    1,624.78/3,540.94 = 3,540.94/x
  3. Step 3: Cross multiply
    1,624.78x = 3,540.94 × 3,540.94
  4. Step 4: Simplify right side
    1,624.78x = 12,538,238.38
  5. Step 5: Solve for x
    x = 12,538,238.38/1,624.78
  6. Step 6: Final answer
    x = 7,716.88

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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.