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Finding the Third Proportional to 20,138.63 and 40,960.69

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Solution

The third proportional to 20,138.63 and 40,960.69 is: 83,311.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.63 : 40,960.69 = 40,960.69 : x
  2. Step 2: Convert to fraction form
    20,138.63/40,960.69 = 40,960.69/x
  3. Step 3: Cross multiply
    20,138.63x = 40,960.69 × 40,960.69
  4. Step 4: Simplify right side
    20,138.63x = 1,677,777,920.47
  5. Step 5: Solve for x
    x = 1,677,777,920.47/20,138.63
  6. Step 6: Final answer
    x = 83,311.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.