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Finding the Third Proportional to 27,500 and 41,934

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Solution

The third proportional to 27,500 and 41,934 is: 63,944.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,500 : 41,934 = 41,934 : x
  2. Step 2: Convert to fraction form
    27,500/41,934 = 41,934/x
  3. Step 3: Cross multiply
    27,500x = 41,934 × 41,934
  4. Step 4: Simplify right side
    27,500x = 1,758,460,356
  5. Step 5: Solve for x
    x = 1,758,460,356/27,500
  6. Step 6: Final answer
    x = 63,944.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.