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Finding the Third Proportional to 11,529 and 21,181.50

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Solution

The third proportional to 11,529 and 21,181.50 is: 38,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,529 : 21,181.50 = 21,181.50 : x
  2. Step 2: Convert to fraction form
    11,529/21,181.50 = 21,181.50/x
  3. Step 3: Cross multiply
    11,529x = 21,181.50 × 21,181.50
  4. Step 4: Simplify right side
    11,529x = 448,655,942.25
  5. Step 5: Solve for x
    x = 448,655,942.25/11,529
  6. Step 6: Final answer
    x = 38,915.43

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.