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Finding the Third Proportional to 27,264 and 56,832

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Solution

The third proportional to 27,264 and 56,832 is: 118,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,264 : 56,832 = 56,832 : x
  2. Step 2: Convert to fraction form
    27,264/56,832 = 56,832/x
  3. Step 3: Cross multiply
    27,264x = 56,832 × 56,832
  4. Step 4: Simplify right side
    27,264x = 3,229,876,224
  5. Step 5: Solve for x
    x = 3,229,876,224/27,264
  6. Step 6: Final answer
    x = 118,466.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.