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Finding the Third Proportional to 27,302 and 55,756

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Solution

The third proportional to 27,302 and 55,756 is: 113,864.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,302 : 55,756 = 55,756 : x
  2. Step 2: Convert to fraction form
    27,302/55,756 = 55,756/x
  3. Step 3: Cross multiply
    27,302x = 55,756 × 55,756
  4. Step 4: Simplify right side
    27,302x = 3,108,731,536
  5. Step 5: Solve for x
    x = 3,108,731,536/27,302
  6. Step 6: Final answer
    x = 113,864.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.