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Finding the Third Proportional to 27,796 and 60,863

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Solution

The third proportional to 27,796 and 60,863 is: 133,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796 : 60,863 = 60,863 : x
  2. Step 2: Convert to fraction form
    27,796/60,863 = 60,863/x
  3. Step 3: Cross multiply
    27,796x = 60,863 × 60,863
  4. Step 4: Simplify right side
    27,796x = 3,704,304,769
  5. Step 5: Solve for x
    x = 3,704,304,769/27,796
  6. Step 6: Final answer
    x = 133,267.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.