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Finding the Third Proportional to 27,852 and 57,549

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Solution

The third proportional to 27,852 and 57,549 is: 118,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,852 : 57,549 = 57,549 : x
  2. Step 2: Convert to fraction form
    27,852/57,549 = 57,549/x
  3. Step 3: Cross multiply
    27,852x = 57,549 × 57,549
  4. Step 4: Simplify right side
    27,852x = 3,311,887,401
  5. Step 5: Solve for x
    x = 3,311,887,401/27,852
  6. Step 6: Final answer
    x = 118,910.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.