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Finding the Third Proportional to 7,408.13 and 16,147.88

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Solution

The third proportional to 7,408.13 and 16,147.88 is: 35,198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.13 : 16,147.88 = 16,147.88 : x
  2. Step 2: Convert to fraction form
    7,408.13/16,147.88 = 16,147.88/x
  3. Step 3: Cross multiply
    7,408.13x = 16,147.88 × 16,147.88
  4. Step 4: Simplify right side
    7,408.13x = 260,753,867.02
  5. Step 5: Solve for x
    x = 260,753,867.02/7,408.13
  6. Step 6: Final answer
    x = 35,198.36

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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.