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Finding the Third Proportional to 11,813.50 and 16,051

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Solution

The third proportional to 11,813.50 and 16,051 is: 21,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.50 : 16,051 = 16,051 : x
  2. Step 2: Convert to fraction form
    11,813.50/16,051 = 16,051/x
  3. Step 3: Cross multiply
    11,813.50x = 16,051 × 16,051
  4. Step 4: Simplify right side
    11,813.50x = 257,634,601
  5. Step 5: Solve for x
    x = 257,634,601/11,813.50
  6. Step 6: Final answer
    x = 21,808.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.