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Finding the Third Proportional to 27,736 and 59,845

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Solution

The third proportional to 27,736 and 59,845 is: 129,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,736 : 59,845 = 59,845 : x
  2. Step 2: Convert to fraction form
    27,736/59,845 = 59,845/x
  3. Step 3: Cross multiply
    27,736x = 59,845 × 59,845
  4. Step 4: Simplify right side
    27,736x = 3,581,424,025
  5. Step 5: Solve for x
    x = 3,581,424,025/27,736
  6. Step 6: Final answer
    x = 129,125.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.