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Finding the Third Proportional to 18,138.94 and 24,520.22

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Solution

The third proportional to 18,138.94 and 24,520.22 is: 33,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,138.94 : 24,520.22 = 24,520.22 : x
  2. Step 2: Convert to fraction form
    18,138.94/24,520.22 = 24,520.22/x
  3. Step 3: Cross multiply
    18,138.94x = 24,520.22 × 24,520.22
  4. Step 4: Simplify right side
    18,138.94x = 601,241,127.55
  5. Step 5: Solve for x
    x = 601,241,127.55/18,138.94
  6. Step 6: Final answer
    x = 33,146.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.