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Finding the Third Proportional to 35,169.50 and 50,379

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Solution

The third proportional to 35,169.50 and 50,379 is: 72,166.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,169.50 : 50,379 = 50,379 : x
  2. Step 2: Convert to fraction form
    35,169.50/50,379 = 50,379/x
  3. Step 3: Cross multiply
    35,169.50x = 50,379 × 50,379
  4. Step 4: Simplify right side
    35,169.50x = 2,538,043,641
  5. Step 5: Solve for x
    x = 2,538,043,641/35,169.50
  6. Step 6: Final answer
    x = 72,166.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.