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Finding the Third Proportional to 12,749.91 and 27,961.88

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Solution

The third proportional to 12,749.91 and 27,961.88 is: 61,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,749.91 : 27,961.88 = 27,961.88 : x
  2. Step 2: Convert to fraction form
    12,749.91/27,961.88 = 27,961.88/x
  3. Step 3: Cross multiply
    12,749.91x = 27,961.88 × 27,961.88
  4. Step 4: Simplify right side
    12,749.91x = 781,866,453.52
  5. Step 5: Solve for x
    x = 781,866,453.52/12,749.91
  6. Step 6: Final answer
    x = 61,323.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.