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Finding the Third Proportional to 3,651.75 and 7,206.47

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Solution

The third proportional to 3,651.75 and 7,206.47 is: 14,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.75 : 7,206.47 = 7,206.47 : x
  2. Step 2: Convert to fraction form
    3,651.75/7,206.47 = 7,206.47/x
  3. Step 3: Cross multiply
    3,651.75x = 7,206.47 × 7,206.47
  4. Step 4: Simplify right side
    3,651.75x = 51,933,191.84
  5. Step 5: Solve for x
    x = 51,933,191.84/3,651.75
  6. Step 6: Final answer
    x = 14,221.45

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.