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Finding the Third Proportional to 16,173 and 35,195

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Solution

The third proportional to 16,173 and 35,195 is: 76,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,173 : 35,195 = 35,195 : x
  2. Step 2: Convert to fraction form
    16,173/35,195 = 35,195/x
  3. Step 3: Cross multiply
    16,173x = 35,195 × 35,195
  4. Step 4: Simplify right side
    16,173x = 1,238,688,025
  5. Step 5: Solve for x
    x = 1,238,688,025/16,173
  6. Step 6: Final answer
    x = 76,589.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.