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Finding the Third Proportional to 997.88 and 2,140.03

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Solution

The third proportional to 997.88 and 2,140.03 is: 4,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.88 : 2,140.03 = 2,140.03 : x
  2. Step 2: Convert to fraction form
    997.88/2,140.03 = 2,140.03/x
  3. Step 3: Cross multiply
    997.88x = 2,140.03 × 2,140.03
  4. Step 4: Simplify right side
    997.88x = 4,579,733.75
  5. Step 5: Solve for x
    x = 4,579,733.75/997.88
  6. Step 6: Final answer
    x = 4,589.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.