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Finding the Third Proportional to 3,519.81 and 7,717.31

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Solution

The third proportional to 3,519.81 and 7,717.31 is: 16,920.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.81 : 7,717.31 = 7,717.31 : x
  2. Step 2: Convert to fraction form
    3,519.81/7,717.31 = 7,717.31/x
  3. Step 3: Cross multiply
    3,519.81x = 7,717.31 × 7,717.31
  4. Step 4: Simplify right side
    3,519.81x = 59,556,912.22
  5. Step 5: Solve for x
    x = 59,556,912.22/3,519.81
  6. Step 6: Final answer
    x = 16,920.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.