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Finding the Third Proportional to 27,061 and 59,961

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Solution

The third proportional to 27,061 and 59,961 is: 132,859.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,061 : 59,961 = 59,961 : x
  2. Step 2: Convert to fraction form
    27,061/59,961 = 59,961/x
  3. Step 3: Cross multiply
    27,061x = 59,961 × 59,961
  4. Step 4: Simplify right side
    27,061x = 3,595,321,521
  5. Step 5: Solve for x
    x = 3,595,321,521/27,061
  6. Step 6: Final answer
    x = 132,859.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.