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Finding the Third Proportional to 33,438 and 79,221

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Solution

The third proportional to 33,438 and 79,221 is: 187,689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,438 : 79,221 = 79,221 : x
  2. Step 2: Convert to fraction form
    33,438/79,221 = 79,221/x
  3. Step 3: Cross multiply
    33,438x = 79,221 × 79,221
  4. Step 4: Simplify right side
    33,438x = 6,275,966,841
  5. Step 5: Solve for x
    x = 6,275,966,841/33,438
  6. Step 6: Final answer
    x = 187,689.66

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.