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Finding the Third Proportional to 17,284 and 19,084

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Solution

The third proportional to 17,284 and 19,084 is: 21,071.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284 : 19,084 = 19,084 : x
  2. Step 2: Convert to fraction form
    17,284/19,084 = 19,084/x
  3. Step 3: Cross multiply
    17,284x = 19,084 × 19,084
  4. Step 4: Simplify right side
    17,284x = 364,199,056
  5. Step 5: Solve for x
    x = 364,199,056/17,284
  6. Step 6: Final answer
    x = 21,071.46

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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.