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Finding the Third Proportional to 3,638.81 and 7,944.05

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Solution

The third proportional to 3,638.81 and 7,944.05 is: 17,342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.81 : 7,944.05 = 7,944.05 : x
  2. Step 2: Convert to fraction form
    3,638.81/7,944.05 = 7,944.05/x
  3. Step 3: Cross multiply
    3,638.81x = 7,944.05 × 7,944.05
  4. Step 4: Simplify right side
    3,638.81x = 63,107,880.75
  5. Step 5: Solve for x
    x = 63,107,880.75/3,638.81
  6. Step 6: Final answer
    x = 17,342.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.