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Finding the Third Proportional to 11,422.69 and 26,441.91

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Solution

The third proportional to 11,422.69 and 26,441.91 is: 61,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.69 : 26,441.91 = 26,441.91 : x
  2. Step 2: Convert to fraction form
    11,422.69/26,441.91 = 26,441.91/x
  3. Step 3: Cross multiply
    11,422.69x = 26,441.91 × 26,441.91
  4. Step 4: Simplify right side
    11,422.69x = 699,174,406.13
  5. Step 5: Solve for x
    x = 699,174,406.13/11,422.69
  6. Step 6: Final answer
    x = 61,209.27

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.