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Finding the Third Proportional to 27,151 and 41,954

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Solution

The third proportional to 27,151 and 41,954 is: 64,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,151 : 41,954 = 41,954 : x
  2. Step 2: Convert to fraction form
    27,151/41,954 = 41,954/x
  3. Step 3: Cross multiply
    27,151x = 41,954 × 41,954
  4. Step 4: Simplify right side
    27,151x = 1,760,138,116
  5. Step 5: Solve for x
    x = 1,760,138,116/27,151
  6. Step 6: Final answer
    x = 64,827.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.