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Finding the Third Proportional to 16,191 and 21,872.25

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Solution

The third proportional to 16,191 and 21,872.25 is: 29,546.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191 : 21,872.25 = 21,872.25 : x
  2. Step 2: Convert to fraction form
    16,191/21,872.25 = 21,872.25/x
  3. Step 3: Cross multiply
    16,191x = 21,872.25 × 21,872.25
  4. Step 4: Simplify right side
    16,191x = 478,395,320.06
  5. Step 5: Solve for x
    x = 478,395,320.06/16,191
  6. Step 6: Final answer
    x = 29,546.99

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.