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Finding the Third Proportional to 27,112 and 49,724

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Solution

The third proportional to 27,112 and 49,724 is: 91,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,112 : 49,724 = 49,724 : x
  2. Step 2: Convert to fraction form
    27,112/49,724 = 49,724/x
  3. Step 3: Cross multiply
    27,112x = 49,724 × 49,724
  4. Step 4: Simplify right side
    27,112x = 2,472,476,176
  5. Step 5: Solve for x
    x = 2,472,476,176/27,112
  6. Step 6: Final answer
    x = 91,194.90

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.