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Finding the Third Proportional to 17,223.19 and 26,344.69

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Solution

The third proportional to 17,223.19 and 26,344.69 is: 40,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,223.19 : 26,344.69 = 26,344.69 : x
  2. Step 2: Convert to fraction form
    17,223.19/26,344.69 = 26,344.69/x
  3. Step 3: Cross multiply
    17,223.19x = 26,344.69 × 26,344.69
  4. Step 4: Simplify right side
    17,223.19x = 694,042,559.47
  5. Step 5: Solve for x
    x = 694,042,559.47/17,223.19
  6. Step 6: Final answer
    x = 40,296.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.