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Finding the Third Proportional to 17,840 and 25,328

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Solution

The third proportional to 17,840 and 25,328 is: 35,958.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,840 : 25,328 = 25,328 : x
  2. Step 2: Convert to fraction form
    17,840/25,328 = 25,328/x
  3. Step 3: Cross multiply
    17,840x = 25,328 × 25,328
  4. Step 4: Simplify right side
    17,840x = 641,507,584
  5. Step 5: Solve for x
    x = 641,507,584/17,840
  6. Step 6: Final answer
    x = 35,958.95

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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.