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Finding the Third Proportional to 1,110.38 and 1,739.81

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Solution

The third proportional to 1,110.38 and 1,739.81 is: 2,726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.38 : 1,739.81 = 1,739.81 : x
  2. Step 2: Convert to fraction form
    1,110.38/1,739.81 = 1,739.81/x
  3. Step 3: Cross multiply
    1,110.38x = 1,739.81 × 1,739.81
  4. Step 4: Simplify right side
    1,110.38x = 3,026,947.54
  5. Step 5: Solve for x
    x = 3,026,947.54/1,110.38
  6. Step 6: Final answer
    x = 2,726.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.