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Finding the Third Proportional to 27,370 and 41,884

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Solution

The third proportional to 27,370 and 41,884 is: 64,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,370 : 41,884 = 41,884 : x
  2. Step 2: Convert to fraction form
    27,370/41,884 = 41,884/x
  3. Step 3: Cross multiply
    27,370x = 41,884 × 41,884
  4. Step 4: Simplify right side
    27,370x = 1,754,269,456
  5. Step 5: Solve for x
    x = 1,754,269,456/27,370
  6. Step 6: Final answer
    x = 64,094.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.