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Finding the Third Proportional to 11,559.38 and 17,423.44

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Solution

The third proportional to 11,559.38 and 17,423.44 is: 26,262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.38 : 17,423.44 = 17,423.44 : x
  2. Step 2: Convert to fraction form
    11,559.38/17,423.44 = 17,423.44/x
  3. Step 3: Cross multiply
    11,559.38x = 17,423.44 × 17,423.44
  4. Step 4: Simplify right side
    11,559.38x = 303,576,174.32
  5. Step 5: Solve for x
    x = 303,576,174.32/11,559.38
  6. Step 6: Final answer
    x = 26,262.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.