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Finding the Third Proportional to 10,170.56 and 20,994.19

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Solution

The third proportional to 10,170.56 and 20,994.19 is: 43,336.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.56 : 20,994.19 = 20,994.19 : x
  2. Step 2: Convert to fraction form
    10,170.56/20,994.19 = 20,994.19/x
  3. Step 3: Cross multiply
    10,170.56x = 20,994.19 × 20,994.19
  4. Step 4: Simplify right side
    10,170.56x = 440,755,908.79
  5. Step 5: Solve for x
    x = 440,755,908.79/10,170.56
  6. Step 6: Final answer
    x = 43,336.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.