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Finding the Third Proportional to 3,336 and 8,074.50

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Solution

The third proportional to 3,336 and 8,074.50 is: 19,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,336 : 8,074.50 = 8,074.50 : x
  2. Step 2: Convert to fraction form
    3,336/8,074.50 = 8,074.50/x
  3. Step 3: Cross multiply
    3,336x = 8,074.50 × 8,074.50
  4. Step 4: Simplify right side
    3,336x = 65,197,550.25
  5. Step 5: Solve for x
    x = 65,197,550.25/3,336
  6. Step 6: Final answer
    x = 19,543.63

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.