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Finding the Third Proportional to 997.73 and 2,191.64

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Solution

The third proportional to 997.73 and 2,191.64 is: 4,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.73 : 2,191.64 = 2,191.64 : x
  2. Step 2: Convert to fraction form
    997.73/2,191.64 = 2,191.64/x
  3. Step 3: Cross multiply
    997.73x = 2,191.64 × 2,191.64
  4. Step 4: Simplify right side
    997.73x = 4,803,288.63
  5. Step 5: Solve for x
    x = 4,803,288.63/997.73
  6. Step 6: Final answer
    x = 4,814.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.