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Finding the Third Proportional to 1,935.56 and 3,081.19

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Solution

The third proportional to 1,935.56 and 3,081.19 is: 4,904.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.56 : 3,081.19 = 3,081.19 : x
  2. Step 2: Convert to fraction form
    1,935.56/3,081.19 = 3,081.19/x
  3. Step 3: Cross multiply
    1,935.56x = 3,081.19 × 3,081.19
  4. Step 4: Simplify right side
    1,935.56x = 9,493,716.41
  5. Step 5: Solve for x
    x = 9,493,716.41/1,935.56
  6. Step 6: Final answer
    x = 4,904.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.