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Finding the Third Proportional to 4,734 and 6,817

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Solution

The third proportional to 4,734 and 6,817 is: 9,816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734 : 6,817 = 6,817 : x
  2. Step 2: Convert to fraction form
    4,734/6,817 = 6,817/x
  3. Step 3: Cross multiply
    4,734x = 6,817 × 6,817
  4. Step 4: Simplify right side
    4,734x = 46,471,489
  5. Step 5: Solve for x
    x = 46,471,489/4,734
  6. Step 6: Final answer
    x = 9,816.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.