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Finding the Third Proportional to 4,350 and 4,794

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Solution

The third proportional to 4,350 and 4,794 is: 5,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,350 : 4,794 = 4,794 : x
  2. Step 2: Convert to fraction form
    4,350/4,794 = 4,794/x
  3. Step 3: Cross multiply
    4,350x = 4,794 × 4,794
  4. Step 4: Simplify right side
    4,350x = 22,982,436
  5. Step 5: Solve for x
    x = 22,982,436/4,350
  6. Step 6: Final answer
    x = 5,283.32

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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.