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Finding the Third Proportional to 3,101.63 and 7,186.22

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Solution

The third proportional to 3,101.63 and 7,186.22 is: 16,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.63 : 7,186.22 = 7,186.22 : x
  2. Step 2: Convert to fraction form
    3,101.63/7,186.22 = 7,186.22/x
  3. Step 3: Cross multiply
    3,101.63x = 7,186.22 × 7,186.22
  4. Step 4: Simplify right side
    3,101.63x = 51,641,739.92
  5. Step 5: Solve for x
    x = 51,641,739.92/3,101.63
  6. Step 6: Final answer
    x = 16,649.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.