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Finding the Third Proportional to 12,404.25 and 25,467.75

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Solution

The third proportional to 12,404.25 and 25,467.75 is: 52,289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,404.25 : 25,467.75 = 25,467.75 : x
  2. Step 2: Convert to fraction form
    12,404.25/25,467.75 = 25,467.75/x
  3. Step 3: Cross multiply
    12,404.25x = 25,467.75 × 25,467.75
  4. Step 4: Simplify right side
    12,404.25x = 648,606,290.06
  5. Step 5: Solve for x
    x = 648,606,290.06/12,404.25
  6. Step 6: Final answer
    x = 52,289.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.