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Finding the Third Proportional to 13,722.75 and 25,083

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Solution

The third proportional to 13,722.75 and 25,083 is: 45,847.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.75 : 25,083 = 25,083 : x
  2. Step 2: Convert to fraction form
    13,722.75/25,083 = 25,083/x
  3. Step 3: Cross multiply
    13,722.75x = 25,083 × 25,083
  4. Step 4: Simplify right side
    13,722.75x = 629,156,889
  5. Step 5: Solve for x
    x = 629,156,889/13,722.75
  6. Step 6: Final answer
    x = 45,847.73

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.