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Finding the Third Proportional to 1,139.91 and 1,965.94

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Solution

The third proportional to 1,139.91 and 1,965.94 is: 3,390.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.91 : 1,965.94 = 1,965.94 : x
  2. Step 2: Convert to fraction form
    1,139.91/1,965.94 = 1,965.94/x
  3. Step 3: Cross multiply
    1,139.91x = 1,965.94 × 1,965.94
  4. Step 4: Simplify right side
    1,139.91x = 3,864,910.25
  5. Step 5: Solve for x
    x = 3,864,910.25/1,139.91
  6. Step 6: Final answer
    x = 3,390.55

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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.