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Finding the Third Proportional to 4,934.25 and 10,704.66

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Solution

The third proportional to 4,934.25 and 10,704.66 is: 23,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.25 : 10,704.66 = 10,704.66 : x
  2. Step 2: Convert to fraction form
    4,934.25/10,704.66 = 10,704.66/x
  3. Step 3: Cross multiply
    4,934.25x = 10,704.66 × 10,704.66
  4. Step 4: Simplify right side
    4,934.25x = 114,589,665.43
  5. Step 5: Solve for x
    x = 114,589,665.43/4,934.25
  6. Step 6: Final answer
    x = 23,223.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.