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Finding the Third Proportional to 6,163.59 and 10,014.05

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Solution

The third proportional to 6,163.59 and 10,014.05 is: 16,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.59 : 10,014.05 = 10,014.05 : x
  2. Step 2: Convert to fraction form
    6,163.59/10,014.05 = 10,014.05/x
  3. Step 3: Cross multiply
    6,163.59x = 10,014.05 × 10,014.05
  4. Step 4: Simplify right side
    6,163.59x = 100,281,134.81
  5. Step 5: Solve for x
    x = 100,281,134.81/6,163.59
  6. Step 6: Final answer
    x = 16,269.91

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.