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Finding the Third Proportional to 10,396.69 and 22,175.44

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Solution

The third proportional to 10,396.69 and 22,175.44 is: 47,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.69 : 22,175.44 = 22,175.44 : x
  2. Step 2: Convert to fraction form
    10,396.69/22,175.44 = 22,175.44/x
  3. Step 3: Cross multiply
    10,396.69x = 22,175.44 × 22,175.44
  4. Step 4: Simplify right side
    10,396.69x = 491,750,028.32
  5. Step 5: Solve for x
    x = 491,750,028.32/10,396.69
  6. Step 6: Final answer
    x = 47,298.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.