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Finding the Third Proportional to 27,790 and 56,612

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Solution

The third proportional to 27,790 and 56,612 is: 115,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,790 : 56,612 = 56,612 : x
  2. Step 2: Convert to fraction form
    27,790/56,612 = 56,612/x
  3. Step 3: Cross multiply
    27,790x = 56,612 × 56,612
  4. Step 4: Simplify right side
    27,790x = 3,204,918,544
  5. Step 5: Solve for x
    x = 3,204,918,544/27,790
  6. Step 6: Final answer
    x = 115,326.32

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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.