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Finding the Third Proportional to 1,182.73 and 1,919.32

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Solution

The third proportional to 1,182.73 and 1,919.32 is: 3,114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.73 : 1,919.32 = 1,919.32 : x
  2. Step 2: Convert to fraction form
    1,182.73/1,919.32 = 1,919.32/x
  3. Step 3: Cross multiply
    1,182.73x = 1,919.32 × 1,919.32
  4. Step 4: Simplify right side
    1,182.73x = 3,683,790.46
  5. Step 5: Solve for x
    x = 3,683,790.46/1,182.73
  6. Step 6: Final answer
    x = 3,114.66

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.