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Finding the Third Proportional to 997.31 and 2,154.09

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Solution

The third proportional to 997.31 and 2,154.09 is: 4,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.31 : 2,154.09 = 2,154.09 : x
  2. Step 2: Convert to fraction form
    997.31/2,154.09 = 2,154.09/x
  3. Step 3: Cross multiply
    997.31x = 2,154.09 × 2,154.09
  4. Step 4: Simplify right side
    997.31x = 4,640,119.88
  5. Step 5: Solve for x
    x = 4,640,119.88/997.31
  6. Step 6: Final answer
    x = 4,652.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.