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Finding the Third Proportional to 5,777 and 6,377

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Solution

The third proportional to 5,777 and 6,377 is: 7,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777 : 6,377 = 6,377 : x
  2. Step 2: Convert to fraction form
    5,777/6,377 = 6,377/x
  3. Step 3: Cross multiply
    5,777x = 6,377 × 6,377
  4. Step 4: Simplify right side
    5,777x = 40,666,129
  5. Step 5: Solve for x
    x = 40,666,129/5,777
  6. Step 6: Final answer
    x = 7,039.32

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.