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Finding the Third Proportional to 13,196.09 and 27,484.24

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Solution

The third proportional to 13,196.09 and 27,484.24 is: 57,243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.09 : 27,484.24 = 27,484.24 : x
  2. Step 2: Convert to fraction form
    13,196.09/27,484.24 = 27,484.24/x
  3. Step 3: Cross multiply
    13,196.09x = 27,484.24 × 27,484.24
  4. Step 4: Simplify right side
    13,196.09x = 755,383,568.62
  5. Step 5: Solve for x
    x = 755,383,568.62/13,196.09
  6. Step 6: Final answer
    x = 57,243.00

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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.