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Finding the Third Proportional to 17,896 and 41,600

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Solution

The third proportional to 17,896 and 41,600 is: 96,700.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,896 : 41,600 = 41,600 : x
  2. Step 2: Convert to fraction form
    17,896/41,600 = 41,600/x
  3. Step 3: Cross multiply
    17,896x = 41,600 × 41,600
  4. Step 4: Simplify right side
    17,896x = 1,730,560,000
  5. Step 5: Solve for x
    x = 1,730,560,000/17,896
  6. Step 6: Final answer
    x = 96,700.94

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.