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Finding the Third Proportional to 1,287 and 1,936.69

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Solution

The third proportional to 1,287 and 1,936.69 is: 2,914.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287 : 1,936.69 = 1,936.69 : x
  2. Step 2: Convert to fraction form
    1,287/1,936.69 = 1,936.69/x
  3. Step 3: Cross multiply
    1,287x = 1,936.69 × 1,936.69
  4. Step 4: Simplify right side
    1,287x = 3,750,758.47
  5. Step 5: Solve for x
    x = 3,750,758.47/1,287
  6. Step 6: Final answer
    x = 2,914.34

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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.