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Finding the Third Proportional to 11,361 and 15,181.50

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Solution

The third proportional to 11,361 and 15,181.50 is: 20,286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361 : 15,181.50 = 15,181.50 : x
  2. Step 2: Convert to fraction form
    11,361/15,181.50 = 15,181.50/x
  3. Step 3: Cross multiply
    11,361x = 15,181.50 × 15,181.50
  4. Step 4: Simplify right side
    11,361x = 230,477,942.25
  5. Step 5: Solve for x
    x = 230,477,942.25/11,361
  6. Step 6: Final answer
    x = 20,286.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.