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Finding the Third Proportional to 27,780 and 56,592

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Solution

The third proportional to 27,780 and 56,592 is: 115,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780 : 56,592 = 56,592 : x
  2. Step 2: Convert to fraction form
    27,780/56,592 = 56,592/x
  3. Step 3: Cross multiply
    27,780x = 56,592 × 56,592
  4. Step 4: Simplify right side
    27,780x = 3,202,654,464
  5. Step 5: Solve for x
    x = 3,202,654,464/27,780
  6. Step 6: Final answer
    x = 115,286.34

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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.