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Finding the Third Proportional to 4,320 and 4,734

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Solution

The third proportional to 4,320 and 4,734 is: 5,187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,320 : 4,734 = 4,734 : x
  2. Step 2: Convert to fraction form
    4,320/4,734 = 4,734/x
  3. Step 3: Cross multiply
    4,320x = 4,734 × 4,734
  4. Step 4: Simplify right side
    4,320x = 22,410,756
  5. Step 5: Solve for x
    x = 22,410,756/4,320
  6. Step 6: Final answer
    x = 5,187.68

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.