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Finding the Third Proportional to 8,324.56 and 17,708.56

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Solution

The third proportional to 8,324.56 and 17,708.56 is: 37,670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.56 : 17,708.56 = 17,708.56 : x
  2. Step 2: Convert to fraction form
    8,324.56/17,708.56 = 17,708.56/x
  3. Step 3: Cross multiply
    8,324.56x = 17,708.56 × 17,708.56
  4. Step 4: Simplify right side
    8,324.56x = 313,593,185.82
  5. Step 5: Solve for x
    x = 313,593,185.82/8,324.56
  6. Step 6: Final answer
    x = 37,670.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.