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Finding the Third Proportional to 8,249.50 and 16,787

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Solution

The third proportional to 8,249.50 and 16,787 is: 34,160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.50 : 16,787 = 16,787 : x
  2. Step 2: Convert to fraction form
    8,249.50/16,787 = 16,787/x
  3. Step 3: Cross multiply
    8,249.50x = 16,787 × 16,787
  4. Step 4: Simplify right side
    8,249.50x = 281,803,369
  5. Step 5: Solve for x
    x = 281,803,369/8,249.50
  6. Step 6: Final answer
    x = 34,160.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.