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Finding the Third Proportional to 12,832.38 and 19,196.25

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Solution

The third proportional to 12,832.38 and 19,196.25 is: 28,716.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.38 : 19,196.25 = 19,196.25 : x
  2. Step 2: Convert to fraction form
    12,832.38/19,196.25 = 19,196.25/x
  3. Step 3: Cross multiply
    12,832.38x = 19,196.25 × 19,196.25
  4. Step 4: Simplify right side
    12,832.38x = 368,496,014.06
  5. Step 5: Solve for x
    x = 368,496,014.06/12,832.38
  6. Step 6: Final answer
    x = 28,716.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.