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Finding the Third Proportional to 2,008.13 and 3,811.22

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Solution

The third proportional to 2,008.13 and 3,811.22 is: 7,233.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.13 : 3,811.22 = 3,811.22 : x
  2. Step 2: Convert to fraction form
    2,008.13/3,811.22 = 3,811.22/x
  3. Step 3: Cross multiply
    2,008.13x = 3,811.22 × 3,811.22
  4. Step 4: Simplify right side
    2,008.13x = 14,525,388.36
  5. Step 5: Solve for x
    x = 14,525,388.36/2,008.13
  6. Step 6: Final answer
    x = 7,233.31

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.