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Finding the Third Proportional to 12,733.88 and 27,110.25

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Solution

The third proportional to 12,733.88 and 27,110.25 is: 57,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733.88 : 27,110.25 = 27,110.25 : x
  2. Step 2: Convert to fraction form
    12,733.88/27,110.25 = 27,110.25/x
  3. Step 3: Cross multiply
    12,733.88x = 27,110.25 × 27,110.25
  4. Step 4: Simplify right side
    12,733.88x = 734,965,655.06
  5. Step 5: Solve for x
    x = 734,965,655.06/12,733.88
  6. Step 6: Final answer
    x = 57,717.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.