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Finding the Third Proportional to 30,600 and 41,185

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Solution

The third proportional to 30,600 and 41,185 is: 55,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,600 : 41,185 = 41,185 : x
  2. Step 2: Convert to fraction form
    30,600/41,185 = 41,185/x
  3. Step 3: Cross multiply
    30,600x = 41,185 × 41,185
  4. Step 4: Simplify right side
    30,600x = 1,696,204,225
  5. Step 5: Solve for x
    x = 1,696,204,225/30,600
  6. Step 6: Final answer
    x = 55,431.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.