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Finding the Third Proportional to 957.94 and 1,935.84

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Solution

The third proportional to 957.94 and 1,935.84 is: 3,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.94 : 1,935.84 = 1,935.84 : x
  2. Step 2: Convert to fraction form
    957.94/1,935.84 = 1,935.84/x
  3. Step 3: Cross multiply
    957.94x = 1,935.84 × 1,935.84
  4. Step 4: Simplify right side
    957.94x = 3,747,491.02
  5. Step 5: Solve for x
    x = 3,747,491.02/957.94
  6. Step 6: Final answer
    x = 3,912.04

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.