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Finding the Third Proportional to 41,082 and 61,803

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Solution

The third proportional to 41,082 and 61,803 is: 92,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,082 : 61,803 = 61,803 : x
  2. Step 2: Convert to fraction form
    41,082/61,803 = 61,803/x
  3. Step 3: Cross multiply
    41,082x = 61,803 × 61,803
  4. Step 4: Simplify right side
    41,082x = 3,819,610,809
  5. Step 5: Solve for x
    x = 3,819,610,809/41,082
  6. Step 6: Final answer
    x = 92,975.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.