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Finding the Third Proportional to 50,344 and 70,571

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Solution

The third proportional to 50,344 and 70,571 is: 98,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,344 : 70,571 = 70,571 : x
  2. Step 2: Convert to fraction form
    50,344/70,571 = 70,571/x
  3. Step 3: Cross multiply
    50,344x = 70,571 × 70,571
  4. Step 4: Simplify right side
    50,344x = 4,980,266,041
  5. Step 5: Solve for x
    x = 4,980,266,041/50,344
  6. Step 6: Final answer
    x = 98,924.72

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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.