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Finding the Third Proportional to 20,729.25 and 44,168.63

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Solution

The third proportional to 20,729.25 and 44,168.63 is: 94,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,729.25 : 44,168.63 = 44,168.63 : x
  2. Step 2: Convert to fraction form
    20,729.25/44,168.63 = 44,168.63/x
  3. Step 3: Cross multiply
    20,729.25x = 44,168.63 × 44,168.63
  4. Step 4: Simplify right side
    20,729.25x = 1,950,867,434.39
  5. Step 5: Solve for x
    x = 1,950,867,434.39/20,729.25
  6. Step 6: Final answer
    x = 94,111.82

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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.