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Finding the Third Proportional to 1,833.50 and 3,991

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Solution

The third proportional to 1,833.50 and 3,991 is: 8,687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.50 : 3,991 = 3,991 : x
  2. Step 2: Convert to fraction form
    1,833.50/3,991 = 3,991/x
  3. Step 3: Cross multiply
    1,833.50x = 3,991 × 3,991
  4. Step 4: Simplify right side
    1,833.50x = 15,928,081
  5. Step 5: Solve for x
    x = 15,928,081/1,833.50
  6. Step 6: Final answer
    x = 8,687.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.