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Finding the Third Proportional to 12,228 and 19,436.25

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Solution

The third proportional to 12,228 and 19,436.25 is: 30,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228 : 19,436.25 = 19,436.25 : x
  2. Step 2: Convert to fraction form
    12,228/19,436.25 = 19,436.25/x
  3. Step 3: Cross multiply
    12,228x = 19,436.25 × 19,436.25
  4. Step 4: Simplify right side
    12,228x = 377,767,814.06
  5. Step 5: Solve for x
    x = 377,767,814.06/12,228
  6. Step 6: Final answer
    x = 30,893.67

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.