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Finding the Third Proportional to 1,482.26 and 2,219.48

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Solution

The third proportional to 1,482.26 and 2,219.48 is: 3,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.26 : 2,219.48 = 2,219.48 : x
  2. Step 2: Convert to fraction form
    1,482.26/2,219.48 = 2,219.48/x
  3. Step 3: Cross multiply
    1,482.26x = 2,219.48 × 2,219.48
  4. Step 4: Simplify right side
    1,482.26x = 4,926,110.89
  5. Step 5: Solve for x
    x = 4,926,110.89/1,482.26
  6. Step 6: Final answer
    x = 3,323.38

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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.