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Finding the Third Proportional to 3,882.09 and 6,150.09

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Solution

The third proportional to 3,882.09 and 6,150.09 is: 9,743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.09 : 6,150.09 = 6,150.09 : x
  2. Step 2: Convert to fraction form
    3,882.09/6,150.09 = 6,150.09/x
  3. Step 3: Cross multiply
    3,882.09x = 6,150.09 × 6,150.09
  4. Step 4: Simplify right side
    3,882.09x = 37,823,653.13
  5. Step 5: Solve for x
    x = 37,823,653.13/3,882.09
  6. Step 6: Final answer
    x = 9,743.11

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.