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Finding the Third Proportional to 27,192 and 57,341

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Solution

The third proportional to 27,192 and 57,341 is: 120,917.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,192 : 57,341 = 57,341 : x
  2. Step 2: Convert to fraction form
    27,192/57,341 = 57,341/x
  3. Step 3: Cross multiply
    27,192x = 57,341 × 57,341
  4. Step 4: Simplify right side
    27,192x = 3,287,990,281
  5. Step 5: Solve for x
    x = 3,287,990,281/27,192
  6. Step 6: Final answer
    x = 120,917.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.