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Finding the Third Proportional to 1,929.75 and 3,022.88

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Solution

The third proportional to 1,929.75 and 3,022.88 is: 4,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.75 : 3,022.88 = 3,022.88 : x
  2. Step 2: Convert to fraction form
    1,929.75/3,022.88 = 3,022.88/x
  3. Step 3: Cross multiply
    1,929.75x = 3,022.88 × 3,022.88
  4. Step 4: Simplify right side
    1,929.75x = 9,137,773.27
  5. Step 5: Solve for x
    x = 9,137,773.27/1,929.75
  6. Step 6: Final answer
    x = 4,735.21

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.