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Finding the Third Proportional to 27,180 and 44,984

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Solution

The third proportional to 27,180 and 44,984 is: 74,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,180 : 44,984 = 44,984 : x
  2. Step 2: Convert to fraction form
    27,180/44,984 = 44,984/x
  3. Step 3: Cross multiply
    27,180x = 44,984 × 44,984
  4. Step 4: Simplify right side
    27,180x = 2,023,560,256
  5. Step 5: Solve for x
    x = 2,023,560,256/27,180
  6. Step 6: Final answer
    x = 74,450.34

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.