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Finding the Third Proportional to 27,738 and 61,191

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Solution

The third proportional to 27,738 and 61,191 is: 134,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,738 : 61,191 = 61,191 : x
  2. Step 2: Convert to fraction form
    27,738/61,191 = 61,191/x
  3. Step 3: Cross multiply
    27,738x = 61,191 × 61,191
  4. Step 4: Simplify right side
    27,738x = 3,744,338,481
  5. Step 5: Solve for x
    x = 3,744,338,481/27,738
  6. Step 6: Final answer
    x = 134,989.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.