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Finding the Third Proportional to 1,236.09 and 1,942.59

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Solution

The third proportional to 1,236.09 and 1,942.59 is: 3,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.09 : 1,942.59 = 1,942.59 : x
  2. Step 2: Convert to fraction form
    1,236.09/1,942.59 = 1,942.59/x
  3. Step 3: Cross multiply
    1,236.09x = 1,942.59 × 1,942.59
  4. Step 4: Simplify right side
    1,236.09x = 3,773,670.48
  5. Step 5: Solve for x
    x = 3,773,670.48/1,236.09
  6. Step 6: Final answer
    x = 3,052.90

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.