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Finding the Third Proportional to 18,087.75 and 38,771.16

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Solution

The third proportional to 18,087.75 and 38,771.16 is: 83,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,087.75 : 38,771.16 = 38,771.16 : x
  2. Step 2: Convert to fraction form
    18,087.75/38,771.16 = 38,771.16/x
  3. Step 3: Cross multiply
    18,087.75x = 38,771.16 × 38,771.16
  4. Step 4: Simplify right side
    18,087.75x = 1,503,202,556.96
  5. Step 5: Solve for x
    x = 1,503,202,556.96/18,087.75
  6. Step 6: Final answer
    x = 83,106.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.