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Finding the Third Proportional to 27,937 and 60,245

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Solution

The third proportional to 27,937 and 60,245 is: 129,915.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937 : 60,245 = 60,245 : x
  2. Step 2: Convert to fraction form
    27,937/60,245 = 60,245/x
  3. Step 3: Cross multiply
    27,937x = 60,245 × 60,245
  4. Step 4: Simplify right side
    27,937x = 3,629,460,025
  5. Step 5: Solve for x
    x = 3,629,460,025/27,937
  6. Step 6: Final answer
    x = 129,915.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.