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Finding the Third Proportional to 8,024.06 and 16,777.13

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Solution

The third proportional to 8,024.06 and 16,777.13 is: 35,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.06 : 16,777.13 = 16,777.13 : x
  2. Step 2: Convert to fraction form
    8,024.06/16,777.13 = 16,777.13/x
  3. Step 3: Cross multiply
    8,024.06x = 16,777.13 × 16,777.13
  4. Step 4: Simplify right side
    8,024.06x = 281,471,923.27
  5. Step 5: Solve for x
    x = 281,471,923.27/8,024.06
  6. Step 6: Final answer
    x = 35,078.48

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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.