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Finding the Third Proportional to 17,557 and 33,493

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Solution

The third proportional to 17,557 and 33,493 is: 63,893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,557 : 33,493 = 33,493 : x
  2. Step 2: Convert to fraction form
    17,557/33,493 = 33,493/x
  3. Step 3: Cross multiply
    17,557x = 33,493 × 33,493
  4. Step 4: Simplify right side
    17,557x = 1,121,781,049
  5. Step 5: Solve for x
    x = 1,121,781,049/17,557
  6. Step 6: Final answer
    x = 63,893.66

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.