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Finding the Third Proportional to 1,922.17 and 4,190.33

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Solution

The third proportional to 1,922.17 and 4,190.33 is: 9,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.17 : 4,190.33 = 4,190.33 : x
  2. Step 2: Convert to fraction form
    1,922.17/4,190.33 = 4,190.33/x
  3. Step 3: Cross multiply
    1,922.17x = 4,190.33 × 4,190.33
  4. Step 4: Simplify right side
    1,922.17x = 17,558,833.43
  5. Step 5: Solve for x
    x = 17,558,833.43/1,922.17
  6. Step 6: Final answer
    x = 9,134.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.