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Finding the Third Proportional to 5,742 and 6,777

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Solution

The third proportional to 5,742 and 6,777 is: 7,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742 : 6,777 = 6,777 : x
  2. Step 2: Convert to fraction form
    5,742/6,777 = 6,777/x
  3. Step 3: Cross multiply
    5,742x = 6,777 × 6,777
  4. Step 4: Simplify right side
    5,742x = 45,927,729
  5. Step 5: Solve for x
    x = 45,927,729/5,742
  6. Step 6: Final answer
    x = 7,998.56

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.