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Finding the Third Proportional to 18,609 and 40,499

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Solution

The third proportional to 18,609 and 40,499 is: 88,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,609 : 40,499 = 40,499 : x
  2. Step 2: Convert to fraction form
    18,609/40,499 = 40,499/x
  3. Step 3: Cross multiply
    18,609x = 40,499 × 40,499
  4. Step 4: Simplify right side
    18,609x = 1,640,169,001
  5. Step 5: Solve for x
    x = 1,640,169,001/18,609
  6. Step 6: Final answer
    x = 88,138.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.