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Finding the Third Proportional to 35,176 and 50,851

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Solution

The third proportional to 35,176 and 50,851 is: 73,511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,176 : 50,851 = 50,851 : x
  2. Step 2: Convert to fraction form
    35,176/50,851 = 50,851/x
  3. Step 3: Cross multiply
    35,176x = 50,851 × 50,851
  4. Step 4: Simplify right side
    35,176x = 2,585,824,201
  5. Step 5: Solve for x
    x = 2,585,824,201/35,176
  6. Step 6: Final answer
    x = 73,511.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.