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Finding the Third Proportional to 2,880 and 4,734

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Solution

The third proportional to 2,880 and 4,734 is: 7,781.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880 : 4,734 = 4,734 : x
  2. Step 2: Convert to fraction form
    2,880/4,734 = 4,734/x
  3. Step 3: Cross multiply
    2,880x = 4,734 × 4,734
  4. Step 4: Simplify right side
    2,880x = 22,410,756
  5. Step 5: Solve for x
    x = 22,410,756/2,880
  6. Step 6: Final answer
    x = 7,781.51

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.