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Finding the Third Proportional to 33,926 and 73,499

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Solution

The third proportional to 33,926 and 73,499 is: 159,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,926 : 73,499 = 73,499 : x
  2. Step 2: Convert to fraction form
    33,926/73,499 = 73,499/x
  3. Step 3: Cross multiply
    33,926x = 73,499 × 73,499
  4. Step 4: Simplify right side
    33,926x = 5,402,103,001
  5. Step 5: Solve for x
    x = 5,402,103,001/33,926
  6. Step 6: Final answer
    x = 159,231.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.