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Finding the Third Proportional to 885.38 and 1,949.38

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Solution

The third proportional to 885.38 and 1,949.38 is: 4,292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.38 : 1,949.38 = 1,949.38 : x
  2. Step 2: Convert to fraction form
    885.38/1,949.38 = 1,949.38/x
  3. Step 3: Cross multiply
    885.38x = 1,949.38 × 1,949.38
  4. Step 4: Simplify right side
    885.38x = 3,800,062.89
  5. Step 5: Solve for x
    x = 3,800,062.89/885.38
  6. Step 6: Final answer
    x = 4,292.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.