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Finding the Third Proportional to 4,646 and 9,817

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Solution

The third proportional to 4,646 and 9,817 is: 20,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646 : 9,817 = 9,817 : x
  2. Step 2: Convert to fraction form
    4,646/9,817 = 9,817/x
  3. Step 3: Cross multiply
    4,646x = 9,817 × 9,817
  4. Step 4: Simplify right side
    4,646x = 96,373,489
  5. Step 5: Solve for x
    x = 96,373,489/4,646
  6. Step 6: Final answer
    x = 20,743.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.