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Finding the Third Proportional to 11,770.88 and 25,408.97

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Solution

The third proportional to 11,770.88 and 25,408.97 is: 54,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.88 : 25,408.97 = 25,408.97 : x
  2. Step 2: Convert to fraction form
    11,770.88/25,408.97 = 25,408.97/x
  3. Step 3: Cross multiply
    11,770.88x = 25,408.97 × 25,408.97
  4. Step 4: Simplify right side
    11,770.88x = 645,615,692.94
  5. Step 5: Solve for x
    x = 645,615,692.94/11,770.88
  6. Step 6: Final answer
    x = 54,848.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.