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Finding the Third Proportional to 5,625.38 and 13,023.19

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Solution

The third proportional to 5,625.38 and 13,023.19 is: 30,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625.38 : 13,023.19 = 13,023.19 : x
  2. Step 2: Convert to fraction form
    5,625.38/13,023.19 = 13,023.19/x
  3. Step 3: Cross multiply
    5,625.38x = 13,023.19 × 13,023.19
  4. Step 4: Simplify right side
    5,625.38x = 169,603,412.66
  5. Step 5: Solve for x
    x = 169,603,412.66/5,625.38
  6. Step 6: Final answer
    x = 30,149.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.