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Finding the Third Proportional to 20,994.19 and 32,769.56

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Solution

The third proportional to 20,994.19 and 32,769.56 is: 51,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,994.19 : 32,769.56 = 32,769.56 : x
  2. Step 2: Convert to fraction form
    20,994.19/32,769.56 = 32,769.56/x
  3. Step 3: Cross multiply
    20,994.19x = 32,769.56 × 32,769.56
  4. Step 4: Simplify right side
    20,994.19x = 1,073,844,226.44
  5. Step 5: Solve for x
    x = 1,073,844,226.44/20,994.19
  6. Step 6: Final answer
    x = 51,149.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.