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Finding the Third Proportional to 5,631.75 and 10,014.75

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Solution

The third proportional to 5,631.75 and 10,014.75 is: 17,808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.75 : 10,014.75 = 10,014.75 : x
  2. Step 2: Convert to fraction form
    5,631.75/10,014.75 = 10,014.75/x
  3. Step 3: Cross multiply
    5,631.75x = 10,014.75 × 10,014.75
  4. Step 4: Simplify right side
    5,631.75x = 100,295,217.56
  5. Step 5: Solve for x
    x = 100,295,217.56/5,631.75
  6. Step 6: Final answer
    x = 17,808.89

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.