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Finding the Third Proportional to 5,104.69 and 10,450.69

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Solution

The third proportional to 5,104.69 and 10,450.69 is: 21,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.69 : 10,450.69 = 10,450.69 : x
  2. Step 2: Convert to fraction form
    5,104.69/10,450.69 = 10,450.69/x
  3. Step 3: Cross multiply
    5,104.69x = 10,450.69 × 10,450.69
  4. Step 4: Simplify right side
    5,104.69x = 109,216,869.22
  5. Step 5: Solve for x
    x = 109,216,869.22/5,104.69
  6. Step 6: Final answer
    x = 21,395.41

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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.