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Finding the Third Proportional to 1,922.17 and 3,122.46

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Solution

The third proportional to 1,922.17 and 3,122.46 is: 5,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.17 : 3,122.46 = 3,122.46 : x
  2. Step 2: Convert to fraction form
    1,922.17/3,122.46 = 3,122.46/x
  3. Step 3: Cross multiply
    1,922.17x = 3,122.46 × 3,122.46
  4. Step 4: Simplify right side
    1,922.17x = 9,749,725.71
  5. Step 5: Solve for x
    x = 9,749,725.71/1,922.17
  6. Step 6: Final answer
    x = 5,072.25

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.