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Finding the Third Proportional to 36,378 and 54,892

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Solution

The third proportional to 36,378 and 54,892 is: 82,828.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,378 : 54,892 = 54,892 : x
  2. Step 2: Convert to fraction form
    36,378/54,892 = 54,892/x
  3. Step 3: Cross multiply
    36,378x = 54,892 × 54,892
  4. Step 4: Simplify right side
    36,378x = 3,013,131,664
  5. Step 5: Solve for x
    x = 3,013,131,664/36,378
  6. Step 6: Final answer
    x = 82,828.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.