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Finding the Third Proportional to 1,935.84 and 3,199.78

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Solution

The third proportional to 1,935.84 and 3,199.78 is: 5,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.84 : 3,199.78 = 3,199.78 : x
  2. Step 2: Convert to fraction form
    1,935.84/3,199.78 = 3,199.78/x
  3. Step 3: Cross multiply
    1,935.84x = 3,199.78 × 3,199.78
  4. Step 4: Simplify right side
    1,935.84x = 10,238,600.05
  5. Step 5: Solve for x
    x = 10,238,600.05/1,935.84
  6. Step 6: Final answer
    x = 5,288.96

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.