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Finding the Third Proportional to 2,936.56 and 4,026.81

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Solution

The third proportional to 2,936.56 and 4,026.81 is: 5,521.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.56 : 4,026.81 = 4,026.81 : x
  2. Step 2: Convert to fraction form
    2,936.56/4,026.81 = 4,026.81/x
  3. Step 3: Cross multiply
    2,936.56x = 4,026.81 × 4,026.81
  4. Step 4: Simplify right side
    2,936.56x = 16,215,218.91
  5. Step 5: Solve for x
    x = 16,215,218.91/2,936.56
  6. Step 6: Final answer
    x = 5,521.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.