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Finding the Third Proportional to 4,717.62 and 9,640.05

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Solution

The third proportional to 4,717.62 and 9,640.05 is: 19,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.62 : 9,640.05 = 9,640.05 : x
  2. Step 2: Convert to fraction form
    4,717.62/9,640.05 = 9,640.05/x
  3. Step 3: Cross multiply
    4,717.62x = 9,640.05 × 9,640.05
  4. Step 4: Simplify right side
    4,717.62x = 92,930,654.38
  5. Step 5: Solve for x
    x = 92,930,654.38/4,717.62
  6. Step 6: Final answer
    x = 19,698.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.