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Finding the Third Proportional to 41,165 and 55,176

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Solution

The third proportional to 41,165 and 55,176 is: 73,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,165 : 55,176 = 55,176 : x
  2. Step 2: Convert to fraction form
    41,165/55,176 = 55,176/x
  3. Step 3: Cross multiply
    41,165x = 55,176 × 55,176
  4. Step 4: Simplify right side
    41,165x = 3,044,390,976
  5. Step 5: Solve for x
    x = 3,044,390,976/41,165
  6. Step 6: Final answer
    x = 73,955.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.