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Finding the Third Proportional to 2,043.56 and 2,782.69

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Solution

The third proportional to 2,043.56 and 2,782.69 is: 3,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.56 : 2,782.69 = 2,782.69 : x
  2. Step 2: Convert to fraction form
    2,043.56/2,782.69 = 2,782.69/x
  3. Step 3: Cross multiply
    2,043.56x = 2,782.69 × 2,782.69
  4. Step 4: Simplify right side
    2,043.56x = 7,743,349.72
  5. Step 5: Solve for x
    x = 7,743,349.72/2,043.56
  6. Step 6: Final answer
    x = 3,789.14

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.