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Finding the Third Proportional to 27,433 and 40,969

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Solution

The third proportional to 27,433 and 40,969 is: 61,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,433 : 40,969 = 40,969 : x
  2. Step 2: Convert to fraction form
    27,433/40,969 = 40,969/x
  3. Step 3: Cross multiply
    27,433x = 40,969 × 40,969
  4. Step 4: Simplify right side
    27,433x = 1,678,458,961
  5. Step 5: Solve for x
    x = 1,678,458,961/27,433
  6. Step 6: Final answer
    x = 61,183.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.