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Finding the Third Proportional to 50,022 and 70,353

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Solution

The third proportional to 50,022 and 70,353 is: 98,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,022 : 70,353 = 70,353 : x
  2. Step 2: Convert to fraction form
    50,022/70,353 = 70,353/x
  3. Step 3: Cross multiply
    50,022x = 70,353 × 70,353
  4. Step 4: Simplify right side
    50,022x = 4,949,544,609
  5. Step 5: Solve for x
    x = 4,949,544,609/50,022
  6. Step 6: Final answer
    x = 98,947.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.