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Finding the Third Proportional to 14,836.29 and 20,135.78

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Solution

The third proportional to 14,836.29 and 20,135.78 is: 27,328.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,836.29 : 20,135.78 = 20,135.78 : x
  2. Step 2: Convert to fraction form
    14,836.29/20,135.78 = 20,135.78/x
  3. Step 3: Cross multiply
    14,836.29x = 20,135.78 × 20,135.78
  4. Step 4: Simplify right side
    14,836.29x = 405,449,529.24
  5. Step 5: Solve for x
    x = 405,449,529.24/14,836.29
  6. Step 6: Final answer
    x = 27,328.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.