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Finding the Third Proportional to 27,229 and 36,954

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Solution

The third proportional to 27,229 and 36,954 is: 50,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,229 : 36,954 = 36,954 : x
  2. Step 2: Convert to fraction form
    27,229/36,954 = 36,954/x
  3. Step 3: Cross multiply
    27,229x = 36,954 × 36,954
  4. Step 4: Simplify right side
    27,229x = 1,365,598,116
  5. Step 5: Solve for x
    x = 1,365,598,116/27,229
  6. Step 6: Final answer
    x = 50,152.34

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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.