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Finding the Third Proportional to 17,306 and 18,962

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Solution

The third proportional to 17,306 and 18,962 is: 20,776.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,306 : 18,962 = 18,962 : x
  2. Step 2: Convert to fraction form
    17,306/18,962 = 18,962/x
  3. Step 3: Cross multiply
    17,306x = 18,962 × 18,962
  4. Step 4: Simplify right side
    17,306x = 359,557,444
  5. Step 5: Solve for x
    x = 359,557,444/17,306
  6. Step 6: Final answer
    x = 20,776.46

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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.