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Finding the Third Proportional to 20,473.22 and 27,512.63

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Solution

The third proportional to 20,473.22 and 27,512.63 is: 36,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,473.22 : 27,512.63 = 27,512.63 : x
  2. Step 2: Convert to fraction form
    20,473.22/27,512.63 = 27,512.63/x
  3. Step 3: Cross multiply
    20,473.22x = 27,512.63 × 27,512.63
  4. Step 4: Simplify right side
    20,473.22x = 756,944,856.80
  5. Step 5: Solve for x
    x = 756,944,856.80/20,473.22
  6. Step 6: Final answer
    x = 36,972.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.