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Finding the Third Proportional to 12,358.83 and 27,496.97

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Solution

The third proportional to 12,358.83 and 27,496.97 is: 61,177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.83 : 27,496.97 = 27,496.97 : x
  2. Step 2: Convert to fraction form
    12,358.83/27,496.97 = 27,496.97/x
  3. Step 3: Cross multiply
    12,358.83x = 27,496.97 × 27,496.97
  4. Step 4: Simplify right side
    12,358.83x = 756,083,290.44
  5. Step 5: Solve for x
    x = 756,083,290.44/12,358.83
  6. Step 6: Final answer
    x = 61,177.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.