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Finding the Third Proportional to 4,439 and 8,185

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Solution

The third proportional to 4,439 and 8,185 is: 15,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,439 : 8,185 = 8,185 : x
  2. Step 2: Convert to fraction form
    4,439/8,185 = 8,185/x
  3. Step 3: Cross multiply
    4,439x = 8,185 × 8,185
  4. Step 4: Simplify right side
    4,439x = 66,994,225
  5. Step 5: Solve for x
    x = 66,994,225/4,439
  6. Step 6: Final answer
    x = 15,092.19

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.