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Finding the Third Proportional to 27,677 and 43,244

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Solution

The third proportional to 27,677 and 43,244 is: 67,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,677 : 43,244 = 43,244 : x
  2. Step 2: Convert to fraction form
    27,677/43,244 = 43,244/x
  3. Step 3: Cross multiply
    27,677x = 43,244 × 43,244
  4. Step 4: Simplify right side
    27,677x = 1,870,043,536
  5. Step 5: Solve for x
    x = 1,870,043,536/27,677
  6. Step 6: Final answer
    x = 67,566.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.