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Finding the Third Proportional to 4,600.13 and 9,640.69

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Solution

The third proportional to 4,600.13 and 9,640.69 is: 20,204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.13 : 9,640.69 = 9,640.69 : x
  2. Step 2: Convert to fraction form
    4,600.13/9,640.69 = 9,640.69/x
  3. Step 3: Cross multiply
    4,600.13x = 9,640.69 × 9,640.69
  4. Step 4: Simplify right side
    4,600.13x = 92,942,855.47
  5. Step 5: Solve for x
    x = 92,942,855.47/4,600.13
  6. Step 6: Final answer
    x = 20,204.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.