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Finding the Third Proportional to 27,542 and 38,937

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Solution

The third proportional to 27,542 and 38,937 is: 55,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542 : 38,937 = 38,937 : x
  2. Step 2: Convert to fraction form
    27,542/38,937 = 38,937/x
  3. Step 3: Cross multiply
    27,542x = 38,937 × 38,937
  4. Step 4: Simplify right side
    27,542x = 1,516,089,969
  5. Step 5: Solve for x
    x = 1,516,089,969/27,542
  6. Step 6: Final answer
    x = 55,046.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.