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Finding the Third Proportional to 8,110.13 and 16,994.81

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Solution

The third proportional to 8,110.13 and 16,994.81 is: 35,612.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.13 : 16,994.81 = 16,994.81 : x
  2. Step 2: Convert to fraction form
    8,110.13/16,994.81 = 16,994.81/x
  3. Step 3: Cross multiply
    8,110.13x = 16,994.81 × 16,994.81
  4. Step 4: Simplify right side
    8,110.13x = 288,823,651.91
  5. Step 5: Solve for x
    x = 288,823,651.91/8,110.13
  6. Step 6: Final answer
    x = 35,612.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.