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Finding the Third Proportional to 11,599.50 and 20,895

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Solution

The third proportional to 11,599.50 and 20,895 is: 37,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.50 : 20,895 = 20,895 : x
  2. Step 2: Convert to fraction form
    11,599.50/20,895 = 20,895/x
  3. Step 3: Cross multiply
    11,599.50x = 20,895 × 20,895
  4. Step 4: Simplify right side
    11,599.50x = 436,601,025
  5. Step 5: Solve for x
    x = 436,601,025/11,599.50
  6. Step 6: Final answer
    x = 37,639.64

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.