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Finding the Third Proportional to 8,378.44 and 17,288.44

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Solution

The third proportional to 8,378.44 and 17,288.44 is: 35,673.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.44 : 17,288.44 = 17,288.44 : x
  2. Step 2: Convert to fraction form
    8,378.44/17,288.44 = 17,288.44/x
  3. Step 3: Cross multiply
    8,378.44x = 17,288.44 × 17,288.44
  4. Step 4: Simplify right side
    8,378.44x = 298,890,071.19
  5. Step 5: Solve for x
    x = 298,890,071.19/8,378.44
  6. Step 6: Final answer
    x = 35,673.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.