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Finding the Third Proportional to 27,191 and 41,807

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Solution

The third proportional to 27,191 and 41,807 is: 64,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,191 : 41,807 = 41,807 : x
  2. Step 2: Convert to fraction form
    27,191/41,807 = 41,807/x
  3. Step 3: Cross multiply
    27,191x = 41,807 × 41,807
  4. Step 4: Simplify right side
    27,191x = 1,747,825,249
  5. Step 5: Solve for x
    x = 1,747,825,249/27,191
  6. Step 6: Final answer
    x = 64,279.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.