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Finding the Third Proportional to 17,173 and 36,221

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Solution

The third proportional to 17,173 and 36,221 is: 76,396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,173 : 36,221 = 36,221 : x
  2. Step 2: Convert to fraction form
    17,173/36,221 = 36,221/x
  3. Step 3: Cross multiply
    17,173x = 36,221 × 36,221
  4. Step 4: Simplify right side
    17,173x = 1,311,960,841
  5. Step 5: Solve for x
    x = 1,311,960,841/17,173
  6. Step 6: Final answer
    x = 76,396.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.