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Finding the Third Proportional to 3,867.75 and 7,405.17

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Solution

The third proportional to 3,867.75 and 7,405.17 is: 14,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.75 : 7,405.17 = 7,405.17 : x
  2. Step 2: Convert to fraction form
    3,867.75/7,405.17 = 7,405.17/x
  3. Step 3: Cross multiply
    3,867.75x = 7,405.17 × 7,405.17
  4. Step 4: Simplify right side
    3,867.75x = 54,836,570.50
  5. Step 5: Solve for x
    x = 54,836,570.50/3,867.75
  6. Step 6: Final answer
    x = 14,177.90

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.