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Finding the Third Proportional to 3,850.31 and 5,506.03

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Solution

The third proportional to 3,850.31 and 5,506.03 is: 7,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.31 : 5,506.03 = 5,506.03 : x
  2. Step 2: Convert to fraction form
    3,850.31/5,506.03 = 5,506.03/x
  3. Step 3: Cross multiply
    3,850.31x = 5,506.03 × 5,506.03
  4. Step 4: Simplify right side
    3,850.31x = 30,316,380.13
  5. Step 5: Solve for x
    x = 30,316,380.13/3,850.31
  6. Step 6: Final answer
    x = 7,873.75

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.