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Finding the Third Proportional to 15,758 and 33,634

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Solution

The third proportional to 15,758 and 33,634 is: 71,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758 : 33,634 = 33,634 : x
  2. Step 2: Convert to fraction form
    15,758/33,634 = 33,634/x
  3. Step 3: Cross multiply
    15,758x = 33,634 × 33,634
  4. Step 4: Simplify right side
    15,758x = 1,131,245,956
  5. Step 5: Solve for x
    x = 1,131,245,956/15,758
  6. Step 6: Final answer
    x = 71,788.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.