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Finding the Third Proportional to 1,308.94 and 1,963.69

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Solution

The third proportional to 1,308.94 and 1,963.69 is: 2,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.94 : 1,963.69 = 1,963.69 : x
  2. Step 2: Convert to fraction form
    1,308.94/1,963.69 = 1,963.69/x
  3. Step 3: Cross multiply
    1,308.94x = 1,963.69 × 1,963.69
  4. Step 4: Simplify right side
    1,308.94x = 3,856,068.60
  5. Step 5: Solve for x
    x = 3,856,068.60/1,308.94
  6. Step 6: Final answer
    x = 2,945.95

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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.