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Finding the Third Proportional to 8,324.16 and 17,707.78

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Solution

The third proportional to 8,324.16 and 17,707.78 is: 37,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.16 : 17,707.78 = 17,707.78 : x
  2. Step 2: Convert to fraction form
    8,324.16/17,707.78 = 17,707.78/x
  3. Step 3: Cross multiply
    8,324.16x = 17,707.78 × 17,707.78
  4. Step 4: Simplify right side
    8,324.16x = 313,565,516.80
  5. Step 5: Solve for x
    x = 313,565,516.80/8,324.16
  6. Step 6: Final answer
    x = 37,669.35

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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.