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Finding the Third Proportional to 7,193.89 and 15,617.97

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Solution

The third proportional to 7,193.89 and 15,617.97 is: 33,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.89 : 15,617.97 = 15,617.97 : x
  2. Step 2: Convert to fraction form
    7,193.89/15,617.97 = 15,617.97/x
  3. Step 3: Cross multiply
    7,193.89x = 15,617.97 × 15,617.97
  4. Step 4: Simplify right side
    7,193.89x = 243,921,008.88
  5. Step 5: Solve for x
    x = 243,921,008.88/7,193.89
  6. Step 6: Final answer
    x = 33,906.68

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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.