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Finding the Third Proportional to 12,007.69 and 26,091.84

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Solution

The third proportional to 12,007.69 and 26,091.84 is: 56,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.69 : 26,091.84 = 26,091.84 : x
  2. Step 2: Convert to fraction form
    12,007.69/26,091.84 = 26,091.84/x
  3. Step 3: Cross multiply
    12,007.69x = 26,091.84 × 26,091.84
  4. Step 4: Simplify right side
    12,007.69x = 680,784,310.27
  5. Step 5: Solve for x
    x = 680,784,310.27/12,007.69
  6. Step 6: Final answer
    x = 56,695.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.