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Finding the Third Proportional to 11,512.97 and 20,656.69

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Solution

The third proportional to 11,512.97 and 20,656.69 is: 37,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.97 : 20,656.69 = 20,656.69 : x
  2. Step 2: Convert to fraction form
    11,512.97/20,656.69 = 20,656.69/x
  3. Step 3: Cross multiply
    11,512.97x = 20,656.69 × 20,656.69
  4. Step 4: Simplify right side
    11,512.97x = 426,698,738.47
  5. Step 5: Solve for x
    x = 426,698,738.47/11,512.97
  6. Step 6: Final answer
    x = 37,062.44

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.