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Finding the Third Proportional to 1,281.75 and 1,961.25

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Solution

The third proportional to 1,281.75 and 1,961.25 is: 3,000.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.75 : 1,961.25 = 1,961.25 : x
  2. Step 2: Convert to fraction form
    1,281.75/1,961.25 = 1,961.25/x
  3. Step 3: Cross multiply
    1,281.75x = 1,961.25 × 1,961.25
  4. Step 4: Simplify right side
    1,281.75x = 3,846,501.56
  5. Step 5: Solve for x
    x = 3,846,501.56/1,281.75
  6. Step 6: Final answer
    x = 3,000.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.