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Finding the Third Proportional to 3,222 and 4,841.25

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Solution

The third proportional to 3,222 and 4,841.25 is: 7,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222 : 4,841.25 = 4,841.25 : x
  2. Step 2: Convert to fraction form
    3,222/4,841.25 = 4,841.25/x
  3. Step 3: Cross multiply
    3,222x = 4,841.25 × 4,841.25
  4. Step 4: Simplify right side
    3,222x = 23,437,701.56
  5. Step 5: Solve for x
    x = 23,437,701.56/3,222
  6. Step 6: Final answer
    x = 7,274.27

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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.