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Finding the Third Proportional to 1,836.56 and 4,046.06

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Solution

The third proportional to 1,836.56 and 4,046.06 is: 8,913.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.56 : 4,046.06 = 4,046.06 : x
  2. Step 2: Convert to fraction form
    1,836.56/4,046.06 = 4,046.06/x
  3. Step 3: Cross multiply
    1,836.56x = 4,046.06 × 4,046.06
  4. Step 4: Simplify right side
    1,836.56x = 16,370,621.75
  5. Step 5: Solve for x
    x = 16,370,621.75/1,836.56
  6. Step 6: Final answer
    x = 8,913.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.