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Finding the Third Proportional to 8,408.25 and 17,674.88

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Solution

The third proportional to 8,408.25 and 17,674.88 is: 37,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.25 : 17,674.88 = 17,674.88 : x
  2. Step 2: Convert to fraction form
    8,408.25/17,674.88 = 17,674.88/x
  3. Step 3: Cross multiply
    8,408.25x = 17,674.88 × 17,674.88
  4. Step 4: Simplify right side
    8,408.25x = 312,401,206.27
  5. Step 5: Solve for x
    x = 312,401,206.27/8,408.25
  6. Step 6: Final answer
    x = 37,154.13

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.