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Finding the Third Proportional to 4,630.29 and 10,138.92

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Solution

The third proportional to 4,630.29 and 10,138.92 is: 22,201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.29 : 10,138.92 = 10,138.92 : x
  2. Step 2: Convert to fraction form
    4,630.29/10,138.92 = 10,138.92/x
  3. Step 3: Cross multiply
    4,630.29x = 10,138.92 × 10,138.92
  4. Step 4: Simplify right side
    4,630.29x = 102,797,736.79
  5. Step 5: Solve for x
    x = 102,797,736.79/4,630.29
  6. Step 6: Final answer
    x = 22,201.15

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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.