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Finding the Third Proportional to 7,589.67 and 16,104.09

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Solution

The third proportional to 7,589.67 and 16,104.09 is: 34,170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.67 : 16,104.09 = 16,104.09 : x
  2. Step 2: Convert to fraction form
    7,589.67/16,104.09 = 16,104.09/x
  3. Step 3: Cross multiply
    7,589.67x = 16,104.09 × 16,104.09
  4. Step 4: Simplify right side
    7,589.67x = 259,341,835.51
  5. Step 5: Solve for x
    x = 259,341,835.51/7,589.67
  6. Step 6: Final answer
    x = 34,170.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.