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Finding the Third Proportional to 27,680 and 43,504

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Solution

The third proportional to 27,680 and 43,504 is: 68,374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,680 : 43,504 = 43,504 : x
  2. Step 2: Convert to fraction form
    27,680/43,504 = 43,504/x
  3. Step 3: Cross multiply
    27,680x = 43,504 × 43,504
  4. Step 4: Simplify right side
    27,680x = 1,892,598,016
  5. Step 5: Solve for x
    x = 1,892,598,016/27,680
  6. Step 6: Final answer
    x = 68,374.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.