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Finding the Third Proportional to 33,458 and 79,271

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Solution

The third proportional to 33,458 and 79,271 is: 187,814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,458 : 79,271 = 79,271 : x
  2. Step 2: Convert to fraction form
    33,458/79,271 = 79,271/x
  3. Step 3: Cross multiply
    33,458x = 79,271 × 79,271
  4. Step 4: Simplify right side
    33,458x = 6,283,891,441
  5. Step 5: Solve for x
    x = 6,283,891,441/33,458
  6. Step 6: Final answer
    x = 187,814.32

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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.