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Finding the Third Proportional to 1,167.54 and 1,933.56

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Solution

The third proportional to 1,167.54 and 1,933.56 is: 3,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.54 : 1,933.56 = 1,933.56 : x
  2. Step 2: Convert to fraction form
    1,167.54/1,933.56 = 1,933.56/x
  3. Step 3: Cross multiply
    1,167.54x = 1,933.56 × 1,933.56
  4. Step 4: Simplify right side
    1,167.54x = 3,738,648.84
  5. Step 5: Solve for x
    x = 3,738,648.84/1,167.54
  6. Step 6: Final answer
    x = 3,202.16

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.