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Finding the Third Proportional to 3,953 and 4,775

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Solution

The third proportional to 3,953 and 4,775 is: 5,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953 : 4,775 = 4,775 : x
  2. Step 2: Convert to fraction form
    3,953/4,775 = 4,775/x
  3. Step 3: Cross multiply
    3,953x = 4,775 × 4,775
  4. Step 4: Simplify right side
    3,953x = 22,800,625
  5. Step 5: Solve for x
    x = 22,800,625/3,953
  6. Step 6: Final answer
    x = 5,767.93

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.