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Finding the Third Proportional to 27,969 and 40,632

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Solution

The third proportional to 27,969 and 40,632 is: 59,028.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969 : 40,632 = 40,632 : x
  2. Step 2: Convert to fraction form
    27,969/40,632 = 40,632/x
  3. Step 3: Cross multiply
    27,969x = 40,632 × 40,632
  4. Step 4: Simplify right side
    27,969x = 1,650,959,424
  5. Step 5: Solve for x
    x = 1,650,959,424/27,969
  6. Step 6: Final answer
    x = 59,028.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.