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Finding the Third Proportional to 1,986.38 and 4,236.56

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Solution

The third proportional to 1,986.38 and 4,236.56 is: 9,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.38 : 4,236.56 = 4,236.56 : x
  2. Step 2: Convert to fraction form
    1,986.38/4,236.56 = 4,236.56/x
  3. Step 3: Cross multiply
    1,986.38x = 4,236.56 × 4,236.56
  4. Step 4: Simplify right side
    1,986.38x = 17,948,461.82
  5. Step 5: Solve for x
    x = 17,948,461.82/1,986.38
  6. Step 6: Final answer
    x = 9,035.79

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.