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Finding the Third Proportional to 7,734.94 and 11,619.28

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Solution

The third proportional to 7,734.94 and 11,619.28 is: 17,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.94 : 11,619.28 = 11,619.28 : x
  2. Step 2: Convert to fraction form
    7,734.94/11,619.28 = 11,619.28/x
  3. Step 3: Cross multiply
    7,734.94x = 11,619.28 × 11,619.28
  4. Step 4: Simplify right side
    7,734.94x = 135,007,696.77
  5. Step 5: Solve for x
    x = 135,007,696.77/7,734.94
  6. Step 6: Final answer
    x = 17,454.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.