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Finding the Third Proportional to 1,739.56 and 3,065.86

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Solution

The third proportional to 1,739.56 and 3,065.86 is: 5,403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.56 : 3,065.86 = 3,065.86 : x
  2. Step 2: Convert to fraction form
    1,739.56/3,065.86 = 3,065.86/x
  3. Step 3: Cross multiply
    1,739.56x = 3,065.86 × 3,065.86
  4. Step 4: Simplify right side
    1,739.56x = 9,399,484.73
  5. Step 5: Solve for x
    x = 9,399,484.73/1,739.56
  6. Step 6: Final answer
    x = 5,403.36

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.