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Finding the Third Proportional to 17,662 and 19,504

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Solution

The third proportional to 17,662 and 19,504 is: 21,538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662 : 19,504 = 19,504 : x
  2. Step 2: Convert to fraction form
    17,662/19,504 = 19,504/x
  3. Step 3: Cross multiply
    17,662x = 19,504 × 19,504
  4. Step 4: Simplify right side
    17,662x = 380,406,016
  5. Step 5: Solve for x
    x = 380,406,016/17,662
  6. Step 6: Final answer
    x = 21,538.11

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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.