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Finding the Third Proportional to 11,469.94 and 15,436.41

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Solution

The third proportional to 11,469.94 and 15,436.41 is: 20,774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.94 : 15,436.41 = 15,436.41 : x
  2. Step 2: Convert to fraction form
    11,469.94/15,436.41 = 15,436.41/x
  3. Step 3: Cross multiply
    11,469.94x = 15,436.41 × 15,436.41
  4. Step 4: Simplify right side
    11,469.94x = 238,282,637.92
  5. Step 5: Solve for x
    x = 238,282,637.92/11,469.94
  6. Step 6: Final answer
    x = 20,774.54

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.