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Finding the Third Proportional to 4,677.94 and 10,229.44

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Solution

The third proportional to 4,677.94 and 10,229.44 is: 22,369.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.94 : 10,229.44 = 10,229.44 : x
  2. Step 2: Convert to fraction form
    4,677.94/10,229.44 = 10,229.44/x
  3. Step 3: Cross multiply
    4,677.94x = 10,229.44 × 10,229.44
  4. Step 4: Simplify right side
    4,677.94x = 104,641,391.57
  5. Step 5: Solve for x
    x = 104,641,391.57/4,677.94
  6. Step 6: Final answer
    x = 22,369.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.