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Finding the Third Proportional to 3,007.31 and 7,244.91

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Solution

The third proportional to 3,007.31 and 7,244.91 is: 17,453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.31 : 7,244.91 = 7,244.91 : x
  2. Step 2: Convert to fraction form
    3,007.31/7,244.91 = 7,244.91/x
  3. Step 3: Cross multiply
    3,007.31x = 7,244.91 × 7,244.91
  4. Step 4: Simplify right side
    3,007.31x = 52,488,666.57
  5. Step 5: Solve for x
    x = 52,488,666.57/3,007.31
  6. Step 6: Final answer
    x = 17,453.68

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.