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Finding the Third Proportional to 1,804.78 and 2,650.22

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Solution

The third proportional to 1,804.78 and 2,650.22 is: 3,891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.78 : 2,650.22 = 2,650.22 : x
  2. Step 2: Convert to fraction form
    1,804.78/2,650.22 = 2,650.22/x
  3. Step 3: Cross multiply
    1,804.78x = 2,650.22 × 2,650.22
  4. Step 4: Simplify right side
    1,804.78x = 7,023,659.42
  5. Step 5: Solve for x
    x = 7,023,659.42/1,804.78
  6. Step 6: Final answer
    x = 3,891.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.