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Finding the Third Proportional to 27,717 and 62,833

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Solution

The third proportional to 27,717 and 62,833 is: 142,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,717 : 62,833 = 62,833 : x
  2. Step 2: Convert to fraction form
    27,717/62,833 = 62,833/x
  3. Step 3: Cross multiply
    27,717x = 62,833 × 62,833
  4. Step 4: Simplify right side
    27,717x = 3,947,985,889
  5. Step 5: Solve for x
    x = 3,947,985,889/27,717
  6. Step 6: Final answer
    x = 142,439.15

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.