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Finding the Third Proportional to 4,996.69 and 10,141.31

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Solution

The third proportional to 4,996.69 and 10,141.31 is: 20,582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.69 : 10,141.31 = 10,141.31 : x
  2. Step 2: Convert to fraction form
    4,996.69/10,141.31 = 10,141.31/x
  3. Step 3: Cross multiply
    4,996.69x = 10,141.31 × 10,141.31
  4. Step 4: Simplify right side
    4,996.69x = 102,846,219.22
  5. Step 5: Solve for x
    x = 102,846,219.22/4,996.69
  6. Step 6: Final answer
    x = 20,582.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.