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Finding the Third Proportional to 3,193.17 and 7,079.27

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Solution

The third proportional to 3,193.17 and 7,079.27 is: 15,694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.17 : 7,079.27 = 7,079.27 : x
  2. Step 2: Convert to fraction form
    3,193.17/7,079.27 = 7,079.27/x
  3. Step 3: Cross multiply
    3,193.17x = 7,079.27 × 7,079.27
  4. Step 4: Simplify right side
    3,193.17x = 50,116,112.40
  5. Step 5: Solve for x
    x = 50,116,112.40/3,193.17
  6. Step 6: Final answer
    x = 15,694.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.