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Finding the Third Proportional to 17,643.50 and 25,079

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Solution

The third proportional to 17,643.50 and 25,079 is: 35,648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.50 : 25,079 = 25,079 : x
  2. Step 2: Convert to fraction form
    17,643.50/25,079 = 25,079/x
  3. Step 3: Cross multiply
    17,643.50x = 25,079 × 25,079
  4. Step 4: Simplify right side
    17,643.50x = 628,956,241
  5. Step 5: Solve for x
    x = 628,956,241/17,643.50
  6. Step 6: Final answer
    x = 35,648.04

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.