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Finding the Third Proportional to 2,181.66 and 3,084.55

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Solution

The third proportional to 2,181.66 and 3,084.55 is: 4,361.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.66 : 3,084.55 = 3,084.55 : x
  2. Step 2: Convert to fraction form
    2,181.66/3,084.55 = 3,084.55/x
  3. Step 3: Cross multiply
    2,181.66x = 3,084.55 × 3,084.55
  4. Step 4: Simplify right side
    2,181.66x = 9,514,421.89
  5. Step 5: Solve for x
    x = 9,514,421.89/2,181.66
  6. Step 6: Final answer
    x = 4,361.09

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.