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Finding the Third Proportional to 27,456 and 37,292

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Solution

The third proportional to 27,456 and 37,292 is: 50,651.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,456 : 37,292 = 37,292 : x
  2. Step 2: Convert to fraction form
    27,456/37,292 = 37,292/x
  3. Step 3: Cross multiply
    27,456x = 37,292 × 37,292
  4. Step 4: Simplify right side
    27,456x = 1,390,693,264
  5. Step 5: Solve for x
    x = 1,390,693,264/27,456
  6. Step 6: Final answer
    x = 50,651.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.