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Finding the Third Proportional to 3,645.70 and 7,997.48

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Solution

The third proportional to 3,645.70 and 7,997.48 is: 17,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.70 : 7,997.48 = 7,997.48 : x
  2. Step 2: Convert to fraction form
    3,645.70/7,997.48 = 7,997.48/x
  3. Step 3: Cross multiply
    3,645.70x = 7,997.48 × 7,997.48
  4. Step 4: Simplify right side
    3,645.70x = 63,959,756.33
  5. Step 5: Solve for x
    x = 63,959,756.33/3,645.70
  6. Step 6: Final answer
    x = 17,543.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.