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Finding the Third Proportional to 17,361 and 27,066.75

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Solution

The third proportional to 17,361 and 27,066.75 is: 42,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,361 : 27,066.75 = 27,066.75 : x
  2. Step 2: Convert to fraction form
    17,361/27,066.75 = 27,066.75/x
  3. Step 3: Cross multiply
    17,361x = 27,066.75 × 27,066.75
  4. Step 4: Simplify right side
    17,361x = 732,608,955.56
  5. Step 5: Solve for x
    x = 732,608,955.56/17,361
  6. Step 6: Final answer
    x = 42,198.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.