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Finding the Third Proportional to 18,415.69 and 40,204.69

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Solution

The third proportional to 18,415.69 and 40,204.69 is: 87,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,415.69 : 40,204.69 = 40,204.69 : x
  2. Step 2: Convert to fraction form
    18,415.69/40,204.69 = 40,204.69/x
  3. Step 3: Cross multiply
    18,415.69x = 40,204.69 × 40,204.69
  4. Step 4: Simplify right side
    18,415.69x = 1,616,416,896.97
  5. Step 5: Solve for x
    x = 1,616,416,896.97/18,415.69
  6. Step 6: Final answer
    x = 87,773.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.