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Finding the Third Proportional to 5,406.75 and 12,404.39

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Solution

The third proportional to 5,406.75 and 12,404.39 is: 28,458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.75 : 12,404.39 = 12,404.39 : x
  2. Step 2: Convert to fraction form
    5,406.75/12,404.39 = 12,404.39/x
  3. Step 3: Cross multiply
    5,406.75x = 12,404.39 × 12,404.39
  4. Step 4: Simplify right side
    5,406.75x = 153,868,906.78
  5. Step 5: Solve for x
    x = 153,868,906.78/5,406.75
  6. Step 6: Final answer
    x = 28,458.67

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.