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Finding the Third Proportional to 27,864 and 41,844

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Solution

The third proportional to 27,864 and 41,844 is: 62,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864 : 41,844 = 41,844 : x
  2. Step 2: Convert to fraction form
    27,864/41,844 = 41,844/x
  3. Step 3: Cross multiply
    27,864x = 41,844 × 41,844
  4. Step 4: Simplify right side
    27,864x = 1,750,920,336
  5. Step 5: Solve for x
    x = 1,750,920,336/27,864
  6. Step 6: Final answer
    x = 62,838.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.