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Finding the Third Proportional to 50,474 and 70,591

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Solution

The third proportional to 50,474 and 70,591 is: 98,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,474 : 70,591 = 70,591 : x
  2. Step 2: Convert to fraction form
    50,474/70,591 = 70,591/x
  3. Step 3: Cross multiply
    50,474x = 70,591 × 70,591
  4. Step 4: Simplify right side
    50,474x = 4,983,089,281
  5. Step 5: Solve for x
    x = 4,983,089,281/50,474
  6. Step 6: Final answer
    x = 98,725.86

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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.