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Finding the Third Proportional to 997.73 and 2,170.41

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Solution

The third proportional to 997.73 and 2,170.41 is: 4,721.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.73 : 2,170.41 = 2,170.41 : x
  2. Step 2: Convert to fraction form
    997.73/2,170.41 = 2,170.41/x
  3. Step 3: Cross multiply
    997.73x = 2,170.41 × 2,170.41
  4. Step 4: Simplify right side
    997.73x = 4,710,663.29
  5. Step 5: Solve for x
    x = 4,710,663.29/997.73
  6. Step 6: Final answer
    x = 4,721.36

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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.