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Finding the Third Proportional to 27,082 and 40,912

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Solution

The third proportional to 27,082 and 40,912 is: 61,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,082 : 40,912 = 40,912 : x
  2. Step 2: Convert to fraction form
    27,082/40,912 = 40,912/x
  3. Step 3: Cross multiply
    27,082x = 40,912 × 40,912
  4. Step 4: Simplify right side
    27,082x = 1,673,791,744
  5. Step 5: Solve for x
    x = 1,673,791,744/27,082
  6. Step 6: Final answer
    x = 61,804.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.