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Finding the Third Proportional to 997.59 and 2,167.88

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Solution

The third proportional to 997.59 and 2,167.88 is: 4,711.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.59 : 2,167.88 = 2,167.88 : x
  2. Step 2: Convert to fraction form
    997.59/2,167.88 = 2,167.88/x
  3. Step 3: Cross multiply
    997.59x = 2,167.88 × 2,167.88
  4. Step 4: Simplify right side
    997.59x = 4,699,682.02
  5. Step 5: Solve for x
    x = 4,699,682.02/997.59
  6. Step 6: Final answer
    x = 4,711.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.