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Finding the Third Proportional to 27,745 and 42,544

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Solution

The third proportional to 27,745 and 42,544 is: 65,236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745 : 42,544 = 42,544 : x
  2. Step 2: Convert to fraction form
    27,745/42,544 = 42,544/x
  3. Step 3: Cross multiply
    27,745x = 42,544 × 42,544
  4. Step 4: Simplify right side
    27,745x = 1,809,991,936
  5. Step 5: Solve for x
    x = 1,809,991,936/27,745
  6. Step 6: Final answer
    x = 65,236.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.