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Finding the Third Proportional to 7,534.13 and 16,408.69

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Solution

The third proportional to 7,534.13 and 16,408.69 is: 35,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.13 : 16,408.69 = 16,408.69 : x
  2. Step 2: Convert to fraction form
    7,534.13/16,408.69 = 16,408.69/x
  3. Step 3: Cross multiply
    7,534.13x = 16,408.69 × 16,408.69
  4. Step 4: Simplify right side
    7,534.13x = 269,245,025.47
  5. Step 5: Solve for x
    x = 269,245,025.47/7,534.13
  6. Step 6: Final answer
    x = 35,736.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.