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Finding the Third Proportional to 49,367 and 70,544

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Solution

The third proportional to 49,367 and 70,544 is: 100,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,367 : 70,544 = 70,544 : x
  2. Step 2: Convert to fraction form
    49,367/70,544 = 70,544/x
  3. Step 3: Cross multiply
    49,367x = 70,544 × 70,544
  4. Step 4: Simplify right side
    49,367x = 4,976,455,936
  5. Step 5: Solve for x
    x = 4,976,455,936/49,367
  6. Step 6: Final answer
    x = 100,805.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.