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Finding the Third Proportional to 27,102 and 41,172

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Solution

The third proportional to 27,102 and 41,172 is: 62,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102 : 41,172 = 41,172 : x
  2. Step 2: Convert to fraction form
    27,102/41,172 = 41,172/x
  3. Step 3: Cross multiply
    27,102x = 41,172 × 41,172
  4. Step 4: Simplify right side
    27,102x = 1,695,133,584
  5. Step 5: Solve for x
    x = 1,695,133,584/27,102
  6. Step 6: Final answer
    x = 62,546.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.