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Finding the Third Proportional to 5,777 and 6,629

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Solution

The third proportional to 5,777 and 6,629 is: 7,606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777 : 6,629 = 6,629 : x
  2. Step 2: Convert to fraction form
    5,777/6,629 = 6,629/x
  3. Step 3: Cross multiply
    5,777x = 6,629 × 6,629
  4. Step 4: Simplify right side
    5,777x = 43,943,641
  5. Step 5: Solve for x
    x = 43,943,641/5,777
  6. Step 6: Final answer
    x = 7,606.65

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.