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Finding the Third Proportional to 11,692.25 and 25,571.75

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Solution

The third proportional to 11,692.25 and 25,571.75 is: 55,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.25 : 25,571.75 = 25,571.75 : x
  2. Step 2: Convert to fraction form
    11,692.25/25,571.75 = 25,571.75/x
  3. Step 3: Cross multiply
    11,692.25x = 25,571.75 × 25,571.75
  4. Step 4: Simplify right side
    11,692.25x = 653,914,398.06
  5. Step 5: Solve for x
    x = 653,914,398.06/11,692.25
  6. Step 6: Final answer
    x = 55,927.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.