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Finding the Third Proportional to 1,895.91 and 2,761.59

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Solution

The third proportional to 1,895.91 and 2,761.59 is: 4,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.91 : 2,761.59 = 2,761.59 : x
  2. Step 2: Convert to fraction form
    1,895.91/2,761.59 = 2,761.59/x
  3. Step 3: Cross multiply
    1,895.91x = 2,761.59 × 2,761.59
  4. Step 4: Simplify right side
    1,895.91x = 7,626,400.04
  5. Step 5: Solve for x
    x = 7,626,400.04/1,895.91
  6. Step 6: Final answer
    x = 4,022.56

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.