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Finding the Third Proportional to 1,922.06 and 3,466.97

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Solution

The third proportional to 1,922.06 and 3,466.97 is: 6,253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.06 : 3,466.97 = 3,466.97 : x
  2. Step 2: Convert to fraction form
    1,922.06/3,466.97 = 3,466.97/x
  3. Step 3: Cross multiply
    1,922.06x = 3,466.97 × 3,466.97
  4. Step 4: Simplify right side
    1,922.06x = 12,019,872.31
  5. Step 5: Solve for x
    x = 12,019,872.31/1,922.06
  6. Step 6: Final answer
    x = 6,253.63

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.