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Finding the Third Proportional to 27,852 and 40,242

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Solution

The third proportional to 27,852 and 40,242 is: 58,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,852 : 40,242 = 40,242 : x
  2. Step 2: Convert to fraction form
    27,852/40,242 = 40,242/x
  3. Step 3: Cross multiply
    27,852x = 40,242 × 40,242
  4. Step 4: Simplify right side
    27,852x = 1,619,418,564
  5. Step 5: Solve for x
    x = 1,619,418,564/27,852
  6. Step 6: Final answer
    x = 58,143.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.