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Finding the Third Proportional to 10,617.96 and 21,697.24

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Solution

The third proportional to 10,617.96 and 21,697.24 is: 44,337.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.96 : 21,697.24 = 21,697.24 : x
  2. Step 2: Convert to fraction form
    10,617.96/21,697.24 = 21,697.24/x
  3. Step 3: Cross multiply
    10,617.96x = 21,697.24 × 21,697.24
  4. Step 4: Simplify right side
    10,617.96x = 470,770,318.54
  5. Step 5: Solve for x
    x = 470,770,318.54/10,617.96
  6. Step 6: Final answer
    x = 44,337.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.