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Finding the Third Proportional to 18,799 and 40,567

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Solution

The third proportional to 18,799 and 40,567 is: 87,540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,799 : 40,567 = 40,567 : x
  2. Step 2: Convert to fraction form
    18,799/40,567 = 40,567/x
  3. Step 3: Cross multiply
    18,799x = 40,567 × 40,567
  4. Step 4: Simplify right side
    18,799x = 1,645,681,489
  5. Step 5: Solve for x
    x = 1,645,681,489/18,799
  6. Step 6: Final answer
    x = 87,540.91

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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.