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Finding the Third Proportional to 33,927 and 73,581

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Solution

The third proportional to 33,927 and 73,581 is: 159,582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,927 : 73,581 = 73,581 : x
  2. Step 2: Convert to fraction form
    33,927/73,581 = 73,581/x
  3. Step 3: Cross multiply
    33,927x = 73,581 × 73,581
  4. Step 4: Simplify right side
    33,927x = 5,414,163,561
  5. Step 5: Solve for x
    x = 5,414,163,561/33,927
  6. Step 6: Final answer
    x = 159,582.74

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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.