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Finding the Third Proportional to 12,777 and 27,930

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Solution

The third proportional to 12,777 and 27,930 is: 61,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777 : 27,930 = 27,930 : x
  2. Step 2: Convert to fraction form
    12,777/27,930 = 27,930/x
  3. Step 3: Cross multiply
    12,777x = 27,930 × 27,930
  4. Step 4: Simplify right side
    12,777x = 780,084,900
  5. Step 5: Solve for x
    x = 780,084,900/12,777
  6. Step 6: Final answer
    x = 61,053.84

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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.