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Finding the Third Proportional to 18,215 and 40,042

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Solution

The third proportional to 18,215 and 40,042 is: 88,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,215 : 40,042 = 40,042 : x
  2. Step 2: Convert to fraction form
    18,215/40,042 = 40,042/x
  3. Step 3: Cross multiply
    18,215x = 40,042 × 40,042
  4. Step 4: Simplify right side
    18,215x = 1,603,361,764
  5. Step 5: Solve for x
    x = 1,603,361,764/18,215
  6. Step 6: Final answer
    x = 88,024.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.