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Finding the Third Proportional to 27,544 and 38,940

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Solution

The third proportional to 27,544 and 38,940 is: 55,050.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,544 : 38,940 = 38,940 : x
  2. Step 2: Convert to fraction form
    27,544/38,940 = 38,940/x
  3. Step 3: Cross multiply
    27,544x = 38,940 × 38,940
  4. Step 4: Simplify right side
    27,544x = 1,516,323,600
  5. Step 5: Solve for x
    x = 1,516,323,600/27,544
  6. Step 6: Final answer
    x = 55,050.96

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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.