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Finding the Third Proportional to 1,288.69 and 1,938.09

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Solution

The third proportional to 1,288.69 and 1,938.09 is: 2,914.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.69 : 1,938.09 = 1,938.09 : x
  2. Step 2: Convert to fraction form
    1,288.69/1,938.09 = 1,938.09/x
  3. Step 3: Cross multiply
    1,288.69x = 1,938.09 × 1,938.09
  4. Step 4: Simplify right side
    1,288.69x = 3,756,207.38
  5. Step 5: Solve for x
    x = 3,756,207.38/1,288.69
  6. Step 6: Final answer
    x = 2,914.75

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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.