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Finding the Third Proportional to 23,542 and 55,583

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Solution

The third proportional to 23,542 and 55,583 is: 131,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,542 : 55,583 = 55,583 : x
  2. Step 2: Convert to fraction form
    23,542/55,583 = 55,583/x
  3. Step 3: Cross multiply
    23,542x = 55,583 × 55,583
  4. Step 4: Simplify right side
    23,542x = 3,089,469,889
  5. Step 5: Solve for x
    x = 3,089,469,889/23,542
  6. Step 6: Final answer
    x = 131,232.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.