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Finding the Third Proportional to 36,304 and 75,380

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Solution

The third proportional to 36,304 and 75,380 is: 156,515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,304 : 75,380 = 75,380 : x
  2. Step 2: Convert to fraction form
    36,304/75,380 = 75,380/x
  3. Step 3: Cross multiply
    36,304x = 75,380 × 75,380
  4. Step 4: Simplify right side
    36,304x = 5,682,144,400
  5. Step 5: Solve for x
    x = 5,682,144,400/36,304
  6. Step 6: Final answer
    x = 156,515.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.