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Finding the Third Proportional to 11,380.50 and 16,635.38

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Solution

The third proportional to 11,380.50 and 16,635.38 is: 24,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.50 : 16,635.38 = 16,635.38 : x
  2. Step 2: Convert to fraction form
    11,380.50/16,635.38 = 16,635.38/x
  3. Step 3: Cross multiply
    11,380.50x = 16,635.38 × 16,635.38
  4. Step 4: Simplify right side
    11,380.50x = 276,735,701.39
  5. Step 5: Solve for x
    x = 276,735,701.39/11,380.50
  6. Step 6: Final answer
    x = 24,316.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.