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Finding the Third Proportional to 1,226 and 3,185

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Solution

The third proportional to 1,226 and 3,185 is: 8,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226 : 3,185 = 3,185 : x
  2. Step 2: Convert to fraction form
    1,226/3,185 = 3,185/x
  3. Step 3: Cross multiply
    1,226x = 3,185 × 3,185
  4. Step 4: Simplify right side
    1,226x = 10,144,225
  5. Step 5: Solve for x
    x = 10,144,225/1,226
  6. Step 6: Final answer
    x = 8,274.25

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.