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Finding the Third Proportional to 17,238 and 25,350

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Solution

The third proportional to 17,238 and 25,350 is: 37,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238 : 25,350 = 25,350 : x
  2. Step 2: Convert to fraction form
    17,238/25,350 = 25,350/x
  3. Step 3: Cross multiply
    17,238x = 25,350 × 25,350
  4. Step 4: Simplify right side
    17,238x = 642,622,500
  5. Step 5: Solve for x
    x = 642,622,500/17,238
  6. Step 6: Final answer
    x = 37,279.41

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.