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Finding the Third Proportional to 4,347 and 4,761

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Solution

The third proportional to 4,347 and 4,761 is: 5,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347 : 4,761 = 4,761 : x
  2. Step 2: Convert to fraction form
    4,347/4,761 = 4,761/x
  3. Step 3: Cross multiply
    4,347x = 4,761 × 4,761
  4. Step 4: Simplify right side
    4,347x = 22,667,121
  5. Step 5: Solve for x
    x = 22,667,121/4,347
  6. Step 6: Final answer
    x = 5,214.43

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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.