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Finding the Third Proportional to 8,324.86 and 17,419.22

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Solution

The third proportional to 8,324.86 and 17,419.22 is: 36,448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.86 : 17,419.22 = 17,419.22 : x
  2. Step 2: Convert to fraction form
    8,324.86/17,419.22 = 17,419.22/x
  3. Step 3: Cross multiply
    8,324.86x = 17,419.22 × 17,419.22
  4. Step 4: Simplify right side
    8,324.86x = 303,429,181.86
  5. Step 5: Solve for x
    x = 303,429,181.86/8,324.86
  6. Step 6: Final answer
    x = 36,448.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.