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Finding the Third Proportional to 8,399.95 and 11,414.67

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Solution

The third proportional to 8,399.95 and 11,414.67 is: 15,511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.95 : 11,414.67 = 11,414.67 : x
  2. Step 2: Convert to fraction form
    8,399.95/11,414.67 = 11,414.67/x
  3. Step 3: Cross multiply
    8,399.95x = 11,414.67 × 11,414.67
  4. Step 4: Simplify right side
    8,399.95x = 130,294,734.01
  5. Step 5: Solve for x
    x = 130,294,734.01/8,399.95
  6. Step 6: Final answer
    x = 15,511.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.