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Finding the Third Proportional to 4,185 and 8,265

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Solution

The third proportional to 4,185 and 8,265 is: 16,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185 : 8,265 = 8,265 : x
  2. Step 2: Convert to fraction form
    4,185/8,265 = 8,265/x
  3. Step 3: Cross multiply
    4,185x = 8,265 × 8,265
  4. Step 4: Simplify right side
    4,185x = 68,310,225
  5. Step 5: Solve for x
    x = 68,310,225/4,185
  6. Step 6: Final answer
    x = 16,322.63

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.