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Finding the Third Proportional to 3,206.25 and 6,945.75

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Solution

The third proportional to 3,206.25 and 6,945.75 is: 15,046.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.25 : 6,945.75 = 6,945.75 : x
  2. Step 2: Convert to fraction form
    3,206.25/6,945.75 = 6,945.75/x
  3. Step 3: Cross multiply
    3,206.25x = 6,945.75 × 6,945.75
  4. Step 4: Simplify right side
    3,206.25x = 48,243,443.06
  5. Step 5: Solve for x
    x = 48,243,443.06/3,206.25
  6. Step 6: Final answer
    x = 15,046.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.