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Finding the Third Proportional to 11,941.50 and 25,305.56

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Solution

The third proportional to 11,941.50 and 25,305.56 is: 53,625.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941.50 : 25,305.56 = 25,305.56 : x
  2. Step 2: Convert to fraction form
    11,941.50/25,305.56 = 25,305.56/x
  3. Step 3: Cross multiply
    11,941.50x = 25,305.56 × 25,305.56
  4. Step 4: Simplify right side
    11,941.50x = 640,371,493.44
  5. Step 5: Solve for x
    x = 640,371,493.44/11,941.50
  6. Step 6: Final answer
    x = 53,625.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.