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Finding the Third Proportional to 27,832 and 60,970

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Solution

The third proportional to 27,832 and 60,970 is: 133,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832 : 60,970 = 60,970 : x
  2. Step 2: Convert to fraction form
    27,832/60,970 = 60,970/x
  3. Step 3: Cross multiply
    27,832x = 60,970 × 60,970
  4. Step 4: Simplify right side
    27,832x = 3,717,340,900
  5. Step 5: Solve for x
    x = 3,717,340,900/27,832
  6. Step 6: Final answer
    x = 133,563.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.