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Finding the Third Proportional to 13,224.94 and 20,490.47

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Solution

The third proportional to 13,224.94 and 20,490.47 is: 31,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.94 : 20,490.47 = 20,490.47 : x
  2. Step 2: Convert to fraction form
    13,224.94/20,490.47 = 20,490.47/x
  3. Step 3: Cross multiply
    13,224.94x = 20,490.47 × 20,490.47
  4. Step 4: Simplify right side
    13,224.94x = 419,859,309.59
  5. Step 5: Solve for x
    x = 419,859,309.59/13,224.94
  6. Step 6: Final answer
    x = 31,747.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.