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Finding the Third Proportional to 36,894 and 55,378

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Solution

The third proportional to 36,894 and 55,378 is: 83,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,894 : 55,378 = 55,378 : x
  2. Step 2: Convert to fraction form
    36,894/55,378 = 55,378/x
  3. Step 3: Cross multiply
    36,894x = 55,378 × 55,378
  4. Step 4: Simplify right side
    36,894x = 3,066,722,884
  5. Step 5: Solve for x
    x = 3,066,722,884/36,894
  6. Step 6: Final answer
    x = 83,122.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.