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Finding the Third Proportional to 17,389.69 and 27,999.42

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Solution

The third proportional to 17,389.69 and 27,999.42 is: 45,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,389.69 : 27,999.42 = 27,999.42 : x
  2. Step 2: Convert to fraction form
    17,389.69/27,999.42 = 27,999.42/x
  3. Step 3: Cross multiply
    17,389.69x = 27,999.42 × 27,999.42
  4. Step 4: Simplify right side
    17,389.69x = 783,967,625.33
  5. Step 5: Solve for x
    x = 783,967,625.33/17,389.69
  6. Step 6: Final answer
    x = 45,082.33

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.