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Finding the Third Proportional to 12,777 and 27,901

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Solution

The third proportional to 12,777 and 27,901 is: 60,927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777 : 27,901 = 27,901 : x
  2. Step 2: Convert to fraction form
    12,777/27,901 = 27,901/x
  3. Step 3: Cross multiply
    12,777x = 27,901 × 27,901
  4. Step 4: Simplify right side
    12,777x = 778,465,801
  5. Step 5: Solve for x
    x = 778,465,801/12,777
  6. Step 6: Final answer
    x = 60,927.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.