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Finding the Third Proportional to 6,777 and 18,015.75

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Solution

The third proportional to 6,777 and 18,015.75 is: 47,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777 : 18,015.75 = 18,015.75 : x
  2. Step 2: Convert to fraction form
    6,777/18,015.75 = 18,015.75/x
  3. Step 3: Cross multiply
    6,777x = 18,015.75 × 18,015.75
  4. Step 4: Simplify right side
    6,777x = 324,567,248.06
  5. Step 5: Solve for x
    x = 324,567,248.06/6,777
  6. Step 6: Final answer
    x = 47,892.47

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.