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Finding the Third Proportional to 27,832 and 61,226

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Solution

The third proportional to 27,832 and 61,226 is: 134,687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832 : 61,226 = 61,226 : x
  2. Step 2: Convert to fraction form
    27,832/61,226 = 61,226/x
  3. Step 3: Cross multiply
    27,832x = 61,226 × 61,226
  4. Step 4: Simplify right side
    27,832x = 3,748,623,076
  5. Step 5: Solve for x
    x = 3,748,623,076/27,832
  6. Step 6: Final answer
    x = 134,687.52

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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.