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Finding the Third Proportional to 5,673 and 9,107.25

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Solution

The third proportional to 5,673 and 9,107.25 is: 14,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673 : 9,107.25 = 9,107.25 : x
  2. Step 2: Convert to fraction form
    5,673/9,107.25 = 9,107.25/x
  3. Step 3: Cross multiply
    5,673x = 9,107.25 × 9,107.25
  4. Step 4: Simplify right side
    5,673x = 82,942,002.56
  5. Step 5: Solve for x
    x = 82,942,002.56/5,673
  6. Step 6: Final answer
    x = 14,620.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.