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Finding the Third Proportional to 8,277.75 and 16,843.50

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Solution

The third proportional to 8,277.75 and 16,843.50 is: 34,273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.75 : 16,843.50 = 16,843.50 : x
  2. Step 2: Convert to fraction form
    8,277.75/16,843.50 = 16,843.50/x
  3. Step 3: Cross multiply
    8,277.75x = 16,843.50 × 16,843.50
  4. Step 4: Simplify right side
    8,277.75x = 283,703,492.25
  5. Step 5: Solve for x
    x = 283,703,492.25/8,277.75
  6. Step 6: Final answer
    x = 34,273.02

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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.