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Finding the Third Proportional to 5,777 and 7,707

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Solution

The third proportional to 5,777 and 7,707 is: 10,281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777 : 7,707 = 7,707 : x
  2. Step 2: Convert to fraction form
    5,777/7,707 = 7,707/x
  3. Step 3: Cross multiply
    5,777x = 7,707 × 7,707
  4. Step 4: Simplify right side
    5,777x = 59,397,849
  5. Step 5: Solve for x
    x = 59,397,849/5,777
  6. Step 6: Final answer
    x = 10,281.78

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.