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Finding the Third Proportional to 475.50 and 961

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Solution

The third proportional to 475.50 and 961 is: 1,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.50 : 961 = 961 : x
  2. Step 2: Convert to fraction form
    475.50/961 = 961/x
  3. Step 3: Cross multiply
    475.50x = 961 × 961
  4. Step 4: Simplify right side
    475.50x = 923,521
  5. Step 5: Solve for x
    x = 923,521/475.50
  6. Step 6: Final answer
    x = 1,942.21

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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.