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Finding the Third Proportional to 27,945 and 30,542.06

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Solution

The third proportional to 27,945 and 30,542.06 is: 33,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,945 : 30,542.06 = 30,542.06 : x
  2. Step 2: Convert to fraction form
    27,945/30,542.06 = 30,542.06/x
  3. Step 3: Cross multiply
    27,945x = 30,542.06 × 30,542.06
  4. Step 4: Simplify right side
    27,945x = 932,817,581.75
  5. Step 5: Solve for x
    x = 932,817,581.75/27,945
  6. Step 6: Final answer
    x = 33,380.48

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.