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Finding the Third Proportional to 1,192.22 and 1,813.01

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Solution

The third proportional to 1,192.22 and 1,813.01 is: 2,757.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.22 : 1,813.01 = 1,813.01 : x
  2. Step 2: Convert to fraction form
    1,192.22/1,813.01 = 1,813.01/x
  3. Step 3: Cross multiply
    1,192.22x = 1,813.01 × 1,813.01
  4. Step 4: Simplify right side
    1,192.22x = 3,286,997.33
  5. Step 5: Solve for x
    x = 3,286,997.33/1,192.22
  6. Step 6: Final answer
    x = 2,757.04

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.