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Finding the Third Proportional to 27,138 and 41,230

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Solution

The third proportional to 27,138 and 41,230 is: 62,639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138 : 41,230 = 41,230 : x
  2. Step 2: Convert to fraction form
    27,138/41,230 = 41,230/x
  3. Step 3: Cross multiply
    27,138x = 41,230 × 41,230
  4. Step 4: Simplify right side
    27,138x = 1,699,912,900
  5. Step 5: Solve for x
    x = 1,699,912,900/27,138
  6. Step 6: Final answer
    x = 62,639.58

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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.