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Finding the Third Proportional to 17,773 and 41,145

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Solution

The third proportional to 17,773 and 41,145 is: 95,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,773 : 41,145 = 41,145 : x
  2. Step 2: Convert to fraction form
    17,773/41,145 = 41,145/x
  3. Step 3: Cross multiply
    17,773x = 41,145 × 41,145
  4. Step 4: Simplify right side
    17,773x = 1,692,911,025
  5. Step 5: Solve for x
    x = 1,692,911,025/17,773
  6. Step 6: Final answer
    x = 95,251.84

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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.