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Finding the Third Proportional to 13,224.38 and 27,543.38

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Solution

The third proportional to 13,224.38 and 27,543.38 is: 57,366.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.38 : 27,543.38 = 27,543.38 : x
  2. Step 2: Convert to fraction form
    13,224.38/27,543.38 = 27,543.38/x
  3. Step 3: Cross multiply
    13,224.38x = 27,543.38 × 27,543.38
  4. Step 4: Simplify right side
    13,224.38x = 758,637,506.39
  5. Step 5: Solve for x
    x = 758,637,506.39/13,224.38
  6. Step 6: Final answer
    x = 57,366.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.