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Finding the Third Proportional to 27,351 and 41,181.75

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Solution

The third proportional to 27,351 and 41,181.75 is: 62,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,351 : 41,181.75 = 41,181.75 : x
  2. Step 2: Convert to fraction form
    27,351/41,181.75 = 41,181.75/x
  3. Step 3: Cross multiply
    27,351x = 41,181.75 × 41,181.75
  4. Step 4: Simplify right side
    27,351x = 1,695,936,533.06
  5. Step 5: Solve for x
    x = 1,695,936,533.06/27,351
  6. Step 6: Final answer
    x = 62,006.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.