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Finding the Third Proportional to 27,313 and 37,379

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Solution

The third proportional to 27,313 and 37,379 is: 51,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,313 : 37,379 = 37,379 : x
  2. Step 2: Convert to fraction form
    27,313/37,379 = 37,379/x
  3. Step 3: Cross multiply
    27,313x = 37,379 × 37,379
  4. Step 4: Simplify right side
    27,313x = 1,397,189,641
  5. Step 5: Solve for x
    x = 1,397,189,641/27,313
  6. Step 6: Final answer
    x = 51,154.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.