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Finding the Third Proportional to 16,804 and 19,084

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Solution

The third proportional to 16,804 and 19,084 is: 21,673.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,804 : 19,084 = 19,084 : x
  2. Step 2: Convert to fraction form
    16,804/19,084 = 19,084/x
  3. Step 3: Cross multiply
    16,804x = 19,084 × 19,084
  4. Step 4: Simplify right side
    16,804x = 364,199,056
  5. Step 5: Solve for x
    x = 364,199,056/16,804
  6. Step 6: Final answer
    x = 21,673.35

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.