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Finding the Third Proportional to 3,720.09 and 7,713.56

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Solution

The third proportional to 3,720.09 and 7,713.56 is: 15,993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.09 : 7,713.56 = 7,713.56 : x
  2. Step 2: Convert to fraction form
    3,720.09/7,713.56 = 7,713.56/x
  3. Step 3: Cross multiply
    3,720.09x = 7,713.56 × 7,713.56
  4. Step 4: Simplify right side
    3,720.09x = 59,499,046.44
  5. Step 5: Solve for x
    x = 59,499,046.44/3,720.09
  6. Step 6: Final answer
    x = 15,993.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.