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Finding the Third Proportional to 3,803.91 and 5,850.56

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Solution

The third proportional to 3,803.91 and 5,850.56 is: 8,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.91 : 5,850.56 = 5,850.56 : x
  2. Step 2: Convert to fraction form
    3,803.91/5,850.56 = 5,850.56/x
  3. Step 3: Cross multiply
    3,803.91x = 5,850.56 × 5,850.56
  4. Step 4: Simplify right side
    3,803.91x = 34,229,081.57
  5. Step 5: Solve for x
    x = 34,229,081.57/3,803.91
  6. Step 6: Final answer
    x = 8,998.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.