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Finding the Third Proportional to 17,632 and 19,477

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Solution

The third proportional to 17,632 and 19,477 is: 21,515.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632 : 19,477 = 19,477 : x
  2. Step 2: Convert to fraction form
    17,632/19,477 = 19,477/x
  3. Step 3: Cross multiply
    17,632x = 19,477 × 19,477
  4. Step 4: Simplify right side
    17,632x = 379,353,529
  5. Step 5: Solve for x
    x = 379,353,529/17,632
  6. Step 6: Final answer
    x = 21,515.06

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.