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Finding the Third Proportional to 11,770 and 27,789

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Solution

The third proportional to 11,770 and 27,789 is: 65,609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770 : 27,789 = 27,789 : x
  2. Step 2: Convert to fraction form
    11,770/27,789 = 27,789/x
  3. Step 3: Cross multiply
    11,770x = 27,789 × 27,789
  4. Step 4: Simplify right side
    11,770x = 772,228,521
  5. Step 5: Solve for x
    x = 772,228,521/11,770
  6. Step 6: Final answer
    x = 65,609.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.