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Finding the Third Proportional to 1,822.78 and 2,827.83

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Solution

The third proportional to 1,822.78 and 2,827.83 is: 4,387.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.78 : 2,827.83 = 2,827.83 : x
  2. Step 2: Convert to fraction form
    1,822.78/2,827.83 = 2,827.83/x
  3. Step 3: Cross multiply
    1,822.78x = 2,827.83 × 2,827.83
  4. Step 4: Simplify right side
    1,822.78x = 7,996,611.90
  5. Step 5: Solve for x
    x = 7,996,611.90/1,822.78
  6. Step 6: Final answer
    x = 4,387.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.