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Finding the Third Proportional to 27,243.50 and 37,517

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Solution

The third proportional to 27,243.50 and 37,517 is: 51,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,243.50 : 37,517 = 37,517 : x
  2. Step 2: Convert to fraction form
    27,243.50/37,517 = 37,517/x
  3. Step 3: Cross multiply
    27,243.50x = 37,517 × 37,517
  4. Step 4: Simplify right side
    27,243.50x = 1,407,525,289
  5. Step 5: Solve for x
    x = 1,407,525,289/27,243.50
  6. Step 6: Final answer
    x = 51,664.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.