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Finding the Third Proportional to 4,105.69 and 9,307.41

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Solution

The third proportional to 4,105.69 and 9,307.41 is: 21,099.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.69 : 9,307.41 = 9,307.41 : x
  2. Step 2: Convert to fraction form
    4,105.69/9,307.41 = 9,307.41/x
  3. Step 3: Cross multiply
    4,105.69x = 9,307.41 × 9,307.41
  4. Step 4: Simplify right side
    4,105.69x = 86,627,811.10
  5. Step 5: Solve for x
    x = 86,627,811.10/4,105.69
  6. Step 6: Final answer
    x = 21,099.47

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.