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Finding the Third Proportional to 2,017.09 and 2,723.31

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Solution

The third proportional to 2,017.09 and 2,723.31 is: 3,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.09 : 2,723.31 = 2,723.31 : x
  2. Step 2: Convert to fraction form
    2,017.09/2,723.31 = 2,723.31/x
  3. Step 3: Cross multiply
    2,017.09x = 2,723.31 × 2,723.31
  4. Step 4: Simplify right side
    2,017.09x = 7,416,409.70
  5. Step 5: Solve for x
    x = 7,416,409.70/2,017.09
  6. Step 6: Final answer
    x = 3,676.79

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.