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Finding the Third Proportional to 3,833.50 and 8,281.75

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Solution

The third proportional to 3,833.50 and 8,281.75 is: 17,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.50 : 8,281.75 = 8,281.75 : x
  2. Step 2: Convert to fraction form
    3,833.50/8,281.75 = 8,281.75/x
  3. Step 3: Cross multiply
    3,833.50x = 8,281.75 × 8,281.75
  4. Step 4: Simplify right side
    3,833.50x = 68,587,383.06
  5. Step 5: Solve for x
    x = 68,587,383.06/3,833.50
  6. Step 6: Final answer
    x = 17,891.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.