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Finding the Third Proportional to 41,184 and 55,935

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Solution

The third proportional to 41,184 and 55,935 is: 75,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,184 : 55,935 = 55,935 : x
  2. Step 2: Convert to fraction form
    41,184/55,935 = 55,935/x
  3. Step 3: Cross multiply
    41,184x = 55,935 × 55,935
  4. Step 4: Simplify right side
    41,184x = 3,128,724,225
  5. Step 5: Solve for x
    x = 3,128,724,225/41,184
  6. Step 6: Final answer
    x = 75,969.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.