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Finding the Third Proportional to 27,509 and 37,147.75

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Solution

The third proportional to 27,509 and 37,147.75 is: 50,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509 : 37,147.75 = 37,147.75 : x
  2. Step 2: Convert to fraction form
    27,509/37,147.75 = 37,147.75/x
  3. Step 3: Cross multiply
    27,509x = 37,147.75 × 37,147.75
  4. Step 4: Simplify right side
    27,509x = 1,379,955,330.06
  5. Step 5: Solve for x
    x = 1,379,955,330.06/27,509
  6. Step 6: Final answer
    x = 50,163.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.