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Finding the Third Proportional to 23,769.50 and 41,706.75

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Solution

The third proportional to 23,769.50 and 41,706.75 is: 73,180.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769.50 : 41,706.75 = 41,706.75 : x
  2. Step 2: Convert to fraction form
    23,769.50/41,706.75 = 41,706.75/x
  3. Step 3: Cross multiply
    23,769.50x = 41,706.75 × 41,706.75
  4. Step 4: Simplify right side
    23,769.50x = 1,739,452,995.56
  5. Step 5: Solve for x
    x = 1,739,452,995.56/23,769.50
  6. Step 6: Final answer
    x = 73,180.04

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.