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Finding the Third Proportional to 43,357.50 and 94,593

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Solution

The third proportional to 43,357.50 and 94,593 is: 206,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,357.50 : 94,593 = 94,593 : x
  2. Step 2: Convert to fraction form
    43,357.50/94,593 = 94,593/x
  3. Step 3: Cross multiply
    43,357.50x = 94,593 × 94,593
  4. Step 4: Simplify right side
    43,357.50x = 8,947,835,649
  5. Step 5: Solve for x
    x = 8,947,835,649/43,357.50
  6. Step 6: Final answer
    x = 206,373.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.