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Finding the Third Proportional to 3,133.69 and 7,419.09

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Solution

The third proportional to 3,133.69 and 7,419.09 is: 17,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.69 : 7,419.09 = 7,419.09 : x
  2. Step 2: Convert to fraction form
    3,133.69/7,419.09 = 7,419.09/x
  3. Step 3: Cross multiply
    3,133.69x = 7,419.09 × 7,419.09
  4. Step 4: Simplify right side
    3,133.69x = 55,042,952.07
  5. Step 5: Solve for x
    x = 55,042,952.07/3,133.69
  6. Step 6: Final answer
    x = 17,564.91

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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.