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Finding the Third Proportional to 27,777 and 59,928

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Solution

The third proportional to 27,777 and 59,928 is: 129,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,777 : 59,928 = 59,928 : x
  2. Step 2: Convert to fraction form
    27,777/59,928 = 59,928/x
  3. Step 3: Cross multiply
    27,777x = 59,928 × 59,928
  4. Step 4: Simplify right side
    27,777x = 3,591,365,184
  5. Step 5: Solve for x
    x = 3,591,365,184/27,777
  6. Step 6: Final answer
    x = 129,292.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.