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Finding the Third Proportional to 18,177 and 25,777.50

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Solution

The third proportional to 18,177 and 25,777.50 is: 36,556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,177 : 25,777.50 = 25,777.50 : x
  2. Step 2: Convert to fraction form
    18,177/25,777.50 = 25,777.50/x
  3. Step 3: Cross multiply
    18,177x = 25,777.50 × 25,777.50
  4. Step 4: Simplify right side
    18,177x = 664,479,506.25
  5. Step 5: Solve for x
    x = 664,479,506.25/18,177
  6. Step 6: Final answer
    x = 36,556.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.