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Finding the Third Proportional to 13,663.69 and 19,234.97

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Solution

The third proportional to 13,663.69 and 19,234.97 is: 27,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.69 : 19,234.97 = 19,234.97 : x
  2. Step 2: Convert to fraction form
    13,663.69/19,234.97 = 19,234.97/x
  3. Step 3: Cross multiply
    13,663.69x = 19,234.97 × 19,234.97
  4. Step 4: Simplify right side
    13,663.69x = 369,984,022.81
  5. Step 5: Solve for x
    x = 369,984,022.81/13,663.69
  6. Step 6: Final answer
    x = 27,077.90

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Why These Related Problems?

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