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Finding the Third Proportional to 35,321.50 and 52,982.75

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Solution

The third proportional to 35,321.50 and 52,982.75 is: 79,474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,321.50 : 52,982.75 = 52,982.75 : x
  2. Step 2: Convert to fraction form
    35,321.50/52,982.75 = 52,982.75/x
  3. Step 3: Cross multiply
    35,321.50x = 52,982.75 × 52,982.75
  4. Step 4: Simplify right side
    35,321.50x = 2,807,171,797.56
  5. Step 5: Solve for x
    x = 2,807,171,797.56/35,321.50
  6. Step 6: Final answer
    x = 79,474.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.