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Finding the Third Proportional to 17,406 and 35,733.75

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Solution

The third proportional to 17,406 and 35,733.75 is: 73,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406 : 35,733.75 = 35,733.75 : x
  2. Step 2: Convert to fraction form
    17,406/35,733.75 = 35,733.75/x
  3. Step 3: Cross multiply
    17,406x = 35,733.75 × 35,733.75
  4. Step 4: Simplify right side
    17,406x = 1,276,900,889.06
  5. Step 5: Solve for x
    x = 1,276,900,889.06/17,406
  6. Step 6: Final answer
    x = 73,359.81

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.