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Finding the Third Proportional to 27,864 and 60,336

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Solution

The third proportional to 27,864 and 60,336 is: 130,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864 : 60,336 = 60,336 : x
  2. Step 2: Convert to fraction form
    27,864/60,336 = 60,336/x
  3. Step 3: Cross multiply
    27,864x = 60,336 × 60,336
  4. Step 4: Simplify right side
    27,864x = 3,640,432,896
  5. Step 5: Solve for x
    x = 3,640,432,896/27,864
  6. Step 6: Final answer
    x = 130,650.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.