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Finding the Third Proportional to 11,692.69 and 25,846.31

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Solution

The third proportional to 11,692.69 and 25,846.31 is: 57,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.69 : 25,846.31 = 25,846.31 : x
  2. Step 2: Convert to fraction form
    11,692.69/25,846.31 = 25,846.31/x
  3. Step 3: Cross multiply
    11,692.69x = 25,846.31 × 25,846.31
  4. Step 4: Simplify right side
    11,692.69x = 668,031,869.85
  5. Step 5: Solve for x
    x = 668,031,869.85/11,692.69
  6. Step 6: Final answer
    x = 57,132.45

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.