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Finding the Third Proportional to 8,673.19 and 9,584.44

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Solution

The third proportional to 8,673.19 and 9,584.44 is: 10,591.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,673.19 : 9,584.44 = 9,584.44 : x
  2. Step 2: Convert to fraction form
    8,673.19/9,584.44 = 9,584.44/x
  3. Step 3: Cross multiply
    8,673.19x = 9,584.44 × 9,584.44
  4. Step 4: Simplify right side
    8,673.19x = 91,861,442.19
  5. Step 5: Solve for x
    x = 91,861,442.19/8,673.19
  6. Step 6: Final answer
    x = 10,591.43

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.