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Finding the Third Proportional to 15,295 and 33,693

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Solution

The third proportional to 15,295 and 33,693 is: 74,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,295 : 33,693 = 33,693 : x
  2. Step 2: Convert to fraction form
    15,295/33,693 = 33,693/x
  3. Step 3: Cross multiply
    15,295x = 33,693 × 33,693
  4. Step 4: Simplify right side
    15,295x = 1,135,218,249
  5. Step 5: Solve for x
    x = 1,135,218,249/15,295
  6. Step 6: Final answer
    x = 74,221.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.