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Finding the Third Proportional to 7,983.88 and 16,794.56

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Solution

The third proportional to 7,983.88 and 16,794.56 is: 35,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.88 : 16,794.56 = 16,794.56 : x
  2. Step 2: Convert to fraction form
    7,983.88/16,794.56 = 16,794.56/x
  3. Step 3: Cross multiply
    7,983.88x = 16,794.56 × 16,794.56
  4. Step 4: Simplify right side
    7,983.88x = 282,057,329.57
  5. Step 5: Solve for x
    x = 282,057,329.57/7,983.88
  6. Step 6: Final answer
    x = 35,328.37

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.