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Finding the Third Proportional to 6,110.44 and 12,749.91

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Solution

The third proportional to 6,110.44 and 12,749.91 is: 26,603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,110.44 : 12,749.91 = 12,749.91 : x
  2. Step 2: Convert to fraction form
    6,110.44/12,749.91 = 12,749.91/x
  3. Step 3: Cross multiply
    6,110.44x = 12,749.91 × 12,749.91
  4. Step 4: Simplify right side
    6,110.44x = 162,560,109.38
  5. Step 5: Solve for x
    x = 162,560,109.38/6,110.44
  6. Step 6: Final answer
    x = 26,603.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.