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Finding the Third Proportional to 27,471 and 41,097

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Solution

The third proportional to 27,471 and 41,097 is: 61,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471 : 41,097 = 41,097 : x
  2. Step 2: Convert to fraction form
    27,471/41,097 = 41,097/x
  3. Step 3: Cross multiply
    27,471x = 41,097 × 41,097
  4. Step 4: Simplify right side
    27,471x = 1,688,963,409
  5. Step 5: Solve for x
    x = 1,688,963,409/27,471
  6. Step 6: Final answer
    x = 61,481.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.