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Finding the Third Proportional to 36,391 and 75,894

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Solution

The third proportional to 36,391 and 75,894 is: 158,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,391 : 75,894 = 75,894 : x
  2. Step 2: Convert to fraction form
    36,391/75,894 = 75,894/x
  3. Step 3: Cross multiply
    36,391x = 75,894 × 75,894
  4. Step 4: Simplify right side
    36,391x = 5,759,899,236
  5. Step 5: Solve for x
    x = 5,759,899,236/36,391
  6. Step 6: Final answer
    x = 158,278.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.