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Finding the Third Proportional to 27,244 and 37,516

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Solution

The third proportional to 27,244 and 37,516 is: 51,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,244 : 37,516 = 37,516 : x
  2. Step 2: Convert to fraction form
    27,244/37,516 = 37,516/x
  3. Step 3: Cross multiply
    27,244x = 37,516 × 37,516
  4. Step 4: Simplify right side
    27,244x = 1,407,450,256
  5. Step 5: Solve for x
    x = 1,407,450,256/27,244
  6. Step 6: Final answer
    x = 51,660.93

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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.