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Finding the Third Proportional to 3,245.22 and 4,862.41

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Solution

The third proportional to 3,245.22 and 4,862.41 is: 7,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.22 : 4,862.41 = 4,862.41 : x
  2. Step 2: Convert to fraction form
    3,245.22/4,862.41 = 4,862.41/x
  3. Step 3: Cross multiply
    3,245.22x = 4,862.41 × 4,862.41
  4. Step 4: Simplify right side
    3,245.22x = 23,642,994.54
  5. Step 5: Solve for x
    x = 23,642,994.54/3,245.22
  6. Step 6: Final answer
    x = 7,285.49

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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.