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Finding the Third Proportional to 50,380 and 70,625

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Solution

The third proportional to 50,380 and 70,625 is: 99,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,380 : 70,625 = 70,625 : x
  2. Step 2: Convert to fraction form
    50,380/70,625 = 70,625/x
  3. Step 3: Cross multiply
    50,380x = 70,625 × 70,625
  4. Step 4: Simplify right side
    50,380x = 4,987,890,625
  5. Step 5: Solve for x
    x = 4,987,890,625/50,380
  6. Step 6: Final answer
    x = 99,005.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.