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Finding the Third Proportional to 11,256.19 and 20,769.19

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Solution

The third proportional to 11,256.19 and 20,769.19 is: 38,321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.19 : 20,769.19 = 20,769.19 : x
  2. Step 2: Convert to fraction form
    11,256.19/20,769.19 = 20,769.19/x
  3. Step 3: Cross multiply
    11,256.19x = 20,769.19 × 20,769.19
  4. Step 4: Simplify right side
    11,256.19x = 431,359,149.41
  5. Step 5: Solve for x
    x = 431,359,149.41/11,256.19
  6. Step 6: Final answer
    x = 38,321.96

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.