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Finding the Third Proportional to 1,104.73 and 1,296.95

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Solution

The third proportional to 1,104.73 and 1,296.95 is: 1,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.73 : 1,296.95 = 1,296.95 : x
  2. Step 2: Convert to fraction form
    1,104.73/1,296.95 = 1,296.95/x
  3. Step 3: Cross multiply
    1,104.73x = 1,296.95 × 1,296.95
  4. Step 4: Simplify right side
    1,104.73x = 1,682,077.28
  5. Step 5: Solve for x
    x = 1,682,077.28/1,104.73
  6. Step 6: Final answer
    x = 1,522.61

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.