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Finding the Third Proportional to 27,666 and 56,628

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Solution

The third proportional to 27,666 and 56,628 is: 115,908.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,666 : 56,628 = 56,628 : x
  2. Step 2: Convert to fraction form
    27,666/56,628 = 56,628/x
  3. Step 3: Cross multiply
    27,666x = 56,628 × 56,628
  4. Step 4: Simplify right side
    27,666x = 3,206,730,384
  5. Step 5: Solve for x
    x = 3,206,730,384/27,666
  6. Step 6: Final answer
    x = 115,908.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.