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Finding the Third Proportional to 1,280.85 and 1,922.52

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Solution

The third proportional to 1,280.85 and 1,922.52 is: 2,885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.85 : 1,922.52 = 1,922.52 : x
  2. Step 2: Convert to fraction form
    1,280.85/1,922.52 = 1,922.52/x
  3. Step 3: Cross multiply
    1,280.85x = 1,922.52 × 1,922.52
  4. Step 4: Simplify right side
    1,280.85x = 3,696,098.25
  5. Step 5: Solve for x
    x = 3,696,098.25/1,280.85
  6. Step 6: Final answer
    x = 2,885.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.