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Finding the Third Proportional to 4,649 and 7,077

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Solution

The third proportional to 4,649 and 7,077 is: 10,773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649 : 7,077 = 7,077 : x
  2. Step 2: Convert to fraction form
    4,649/7,077 = 7,077/x
  3. Step 3: Cross multiply
    4,649x = 7,077 × 7,077
  4. Step 4: Simplify right side
    4,649x = 50,083,929
  5. Step 5: Solve for x
    x = 50,083,929/4,649
  6. Step 6: Final answer
    x = 10,773.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.