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Finding the Third Proportional to 16,148 and 21,802

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Solution

The third proportional to 16,148 and 21,802 is: 29,435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148 : 21,802 = 21,802 : x
  2. Step 2: Convert to fraction form
    16,148/21,802 = 21,802/x
  3. Step 3: Cross multiply
    16,148x = 21,802 × 21,802
  4. Step 4: Simplify right side
    16,148x = 475,327,204
  5. Step 5: Solve for x
    x = 475,327,204/16,148
  6. Step 6: Final answer
    x = 29,435.67

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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.