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Finding the Third Proportional to 9,910.69 and 13,212.28

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Solution

The third proportional to 9,910.69 and 13,212.28 is: 17,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.69 : 13,212.28 = 13,212.28 : x
  2. Step 2: Convert to fraction form
    9,910.69/13,212.28 = 13,212.28/x
  3. Step 3: Cross multiply
    9,910.69x = 13,212.28 × 13,212.28
  4. Step 4: Simplify right side
    9,910.69x = 174,564,375.83
  5. Step 5: Solve for x
    x = 174,564,375.83/9,910.69
  6. Step 6: Final answer
    x = 17,613.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.