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Finding the Third Proportional to 3,246.75 and 7,850.25

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Solution

The third proportional to 3,246.75 and 7,850.25 is: 18,980.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.75 : 7,850.25 = 7,850.25 : x
  2. Step 2: Convert to fraction form
    3,246.75/7,850.25 = 7,850.25/x
  3. Step 3: Cross multiply
    3,246.75x = 7,850.25 × 7,850.25
  4. Step 4: Simplify right side
    3,246.75x = 61,626,425.06
  5. Step 5: Solve for x
    x = 61,626,425.06/3,246.75
  6. Step 6: Final answer
    x = 18,980.96

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.