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Finding the Third Proportional to 10,095.19 and 20,694.09

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Solution

The third proportional to 10,095.19 and 20,694.09 is: 42,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.19 : 20,694.09 = 20,694.09 : x
  2. Step 2: Convert to fraction form
    10,095.19/20,694.09 = 20,694.09/x
  3. Step 3: Cross multiply
    10,095.19x = 20,694.09 × 20,694.09
  4. Step 4: Simplify right side
    10,095.19x = 428,245,516.13
  5. Step 5: Solve for x
    x = 428,245,516.13/10,095.19
  6. Step 6: Final answer
    x = 42,420.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.