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Finding the Third Proportional to 1,249.88 and 1,942.06

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Solution

The third proportional to 1,249.88 and 1,942.06 is: 3,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.88 : 1,942.06 = 1,942.06 : x
  2. Step 2: Convert to fraction form
    1,249.88/1,942.06 = 1,942.06/x
  3. Step 3: Cross multiply
    1,249.88x = 1,942.06 × 1,942.06
  4. Step 4: Simplify right side
    1,249.88x = 3,771,606.75
  5. Step 5: Solve for x
    x = 3,771,606.75/1,249.88
  6. Step 6: Final answer
    x = 3,017.59

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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.