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Finding the Third Proportional to 997.75 and 2,174.50

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Solution

The third proportional to 997.75 and 2,174.50 is: 4,739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.75 : 2,174.50 = 2,174.50 : x
  2. Step 2: Convert to fraction form
    997.75/2,174.50 = 2,174.50/x
  3. Step 3: Cross multiply
    997.75x = 2,174.50 × 2,174.50
  4. Step 4: Simplify right side
    997.75x = 4,728,450.25
  5. Step 5: Solve for x
    x = 4,728,450.25/997.75
  6. Step 6: Final answer
    x = 4,739.11

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Why These Related Problems?

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