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Finding the Third Proportional to 4,730.91 and 10,729.97

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Solution

The third proportional to 4,730.91 and 10,729.97 is: 24,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730.91 : 10,729.97 = 10,729.97 : x
  2. Step 2: Convert to fraction form
    4,730.91/10,729.97 = 10,729.97/x
  3. Step 3: Cross multiply
    4,730.91x = 10,729.97 × 10,729.97
  4. Step 4: Simplify right side
    4,730.91x = 115,132,229.38
  5. Step 5: Solve for x
    x = 115,132,229.38/4,730.91
  6. Step 6: Final answer
    x = 24,336.19

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.