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Finding the Third Proportional to 27,386 and 61,009

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Solution

The third proportional to 27,386 and 61,009 is: 135,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,386 : 61,009 = 61,009 : x
  2. Step 2: Convert to fraction form
    27,386/61,009 = 61,009/x
  3. Step 3: Cross multiply
    27,386x = 61,009 × 61,009
  4. Step 4: Simplify right side
    27,386x = 3,722,098,081
  5. Step 5: Solve for x
    x = 3,722,098,081/27,386
  6. Step 6: Final answer
    x = 135,912.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.