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Finding the Third Proportional to 11,436 and 16,019.25

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Solution

The third proportional to 11,436 and 16,019.25 is: 22,439.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436 : 16,019.25 = 16,019.25 : x
  2. Step 2: Convert to fraction form
    11,436/16,019.25 = 16,019.25/x
  3. Step 3: Cross multiply
    11,436x = 16,019.25 × 16,019.25
  4. Step 4: Simplify right side
    11,436x = 256,616,370.56
  5. Step 5: Solve for x
    x = 256,616,370.56/11,436
  6. Step 6: Final answer
    x = 22,439.35

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.