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Finding the Third Proportional to 27,864 and 61,272

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Solution

The third proportional to 27,864 and 61,272 is: 134,735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864 : 61,272 = 61,272 : x
  2. Step 2: Convert to fraction form
    27,864/61,272 = 61,272/x
  3. Step 3: Cross multiply
    27,864x = 61,272 × 61,272
  4. Step 4: Simplify right side
    27,864x = 3,754,257,984
  5. Step 5: Solve for x
    x = 3,754,257,984/27,864
  6. Step 6: Final answer
    x = 134,735.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.