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Finding the Third Proportional to 5,353.50 and 10,041

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Solution

The third proportional to 5,353.50 and 10,041 is: 18,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.50 : 10,041 = 10,041 : x
  2. Step 2: Convert to fraction form
    5,353.50/10,041 = 10,041/x
  3. Step 3: Cross multiply
    5,353.50x = 10,041 × 10,041
  4. Step 4: Simplify right side
    5,353.50x = 100,821,681
  5. Step 5: Solve for x
    x = 100,821,681/5,353.50
  6. Step 6: Final answer
    x = 18,832.85

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.