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Finding the Third Proportional to 27,717 and 60,969

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Solution

The third proportional to 27,717 and 60,969 is: 134,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,717 : 60,969 = 60,969 : x
  2. Step 2: Convert to fraction form
    27,717/60,969 = 60,969/x
  3. Step 3: Cross multiply
    27,717x = 60,969 × 60,969
  4. Step 4: Simplify right side
    27,717x = 3,717,218,961
  5. Step 5: Solve for x
    x = 3,717,218,961/27,717
  6. Step 6: Final answer
    x = 134,113.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.