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Finding the Third Proportional to 1,018.55 and 2,231.86

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Solution

The third proportional to 1,018.55 and 2,231.86 is: 4,890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.55 : 2,231.86 = 2,231.86 : x
  2. Step 2: Convert to fraction form
    1,018.55/2,231.86 = 2,231.86/x
  3. Step 3: Cross multiply
    1,018.55x = 2,231.86 × 2,231.86
  4. Step 4: Simplify right side
    1,018.55x = 4,981,196.27
  5. Step 5: Solve for x
    x = 4,981,196.27/1,018.55
  6. Step 6: Final answer
    x = 4,890.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.