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Finding the Third Proportional to 964.83 and 1,998.42

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Solution

The third proportional to 964.83 and 1,998.42 is: 4,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.83 : 1,998.42 = 1,998.42 : x
  2. Step 2: Convert to fraction form
    964.83/1,998.42 = 1,998.42/x
  3. Step 3: Cross multiply
    964.83x = 1,998.42 × 1,998.42
  4. Step 4: Simplify right side
    964.83x = 3,993,689.99
  5. Step 5: Solve for x
    x = 3,993,689.99/964.83
  6. Step 6: Final answer
    x = 4,139.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.