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Finding the Third Proportional to 3,044.81 and 7,209.84

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Solution

The third proportional to 3,044.81 and 7,209.84 is: 17,072.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.81 : 7,209.84 = 7,209.84 : x
  2. Step 2: Convert to fraction form
    3,044.81/7,209.84 = 7,209.84/x
  3. Step 3: Cross multiply
    3,044.81x = 7,209.84 × 7,209.84
  4. Step 4: Simplify right side
    3,044.81x = 51,981,846.90
  5. Step 5: Solve for x
    x = 51,981,846.90/3,044.81
  6. Step 6: Final answer
    x = 17,072.27

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.