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Finding the Third Proportional to 11,215.69 and 23,593.22

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Solution

The third proportional to 11,215.69 and 23,593.22 is: 49,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215.69 : 23,593.22 = 23,593.22 : x
  2. Step 2: Convert to fraction form
    11,215.69/23,593.22 = 23,593.22/x
  3. Step 3: Cross multiply
    11,215.69x = 23,593.22 × 23,593.22
  4. Step 4: Simplify right side
    11,215.69x = 556,639,970.99
  5. Step 5: Solve for x
    x = 556,639,970.99/11,215.69
  6. Step 6: Final answer
    x = 49,630.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.