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Finding the Third Proportional to 10,192.69 and 14,353.69

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Solution

The third proportional to 10,192.69 and 14,353.69 is: 20,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.69 : 14,353.69 = 14,353.69 : x
  2. Step 2: Convert to fraction form
    10,192.69/14,353.69 = 14,353.69/x
  3. Step 3: Cross multiply
    10,192.69x = 14,353.69 × 14,353.69
  4. Step 4: Simplify right side
    10,192.69x = 206,028,344.85
  5. Step 5: Solve for x
    x = 206,028,344.85/10,192.69
  6. Step 6: Final answer
    x = 20,213.35

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.