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Finding the Third Proportional to 11,071.69 and 23,578.59

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Solution

The third proportional to 11,071.69 and 23,578.59 is: 50,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.69 : 23,578.59 = 23,578.59 : x
  2. Step 2: Convert to fraction form
    11,071.69/23,578.59 = 23,578.59/x
  3. Step 3: Cross multiply
    11,071.69x = 23,578.59 × 23,578.59
  4. Step 4: Simplify right side
    11,071.69x = 555,950,083.23
  5. Step 5: Solve for x
    x = 555,950,083.23/11,071.69
  6. Step 6: Final answer
    x = 50,213.67

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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.