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Finding the Third Proportional to 10,997.16 and 24,181.17

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Solution

The third proportional to 10,997.16 and 24,181.17 is: 53,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.16 : 24,181.17 = 24,181.17 : x
  2. Step 2: Convert to fraction form
    10,997.16/24,181.17 = 24,181.17/x
  3. Step 3: Cross multiply
    10,997.16x = 24,181.17 × 24,181.17
  4. Step 4: Simplify right side
    10,997.16x = 584,729,073.25
  5. Step 5: Solve for x
    x = 584,729,073.25/10,997.16
  6. Step 6: Final answer
    x = 53,170.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.