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Finding the Third Proportional to 18,163 and 39,194.75

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Solution

The third proportional to 18,163 and 39,194.75 is: 84,580.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,163 : 39,194.75 = 39,194.75 : x
  2. Step 2: Convert to fraction form
    18,163/39,194.75 = 39,194.75/x
  3. Step 3: Cross multiply
    18,163x = 39,194.75 × 39,194.75
  4. Step 4: Simplify right side
    18,163x = 1,536,228,427.56
  5. Step 5: Solve for x
    x = 1,536,228,427.56/18,163
  6. Step 6: Final answer
    x = 84,580.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.