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Finding the Third Proportional to 18,177 and 37,773

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Solution

The third proportional to 18,177 and 37,773 is: 78,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,177 : 37,773 = 37,773 : x
  2. Step 2: Convert to fraction form
    18,177/37,773 = 37,773/x
  3. Step 3: Cross multiply
    18,177x = 37,773 × 37,773
  4. Step 4: Simplify right side
    18,177x = 1,426,799,529
  5. Step 5: Solve for x
    x = 1,426,799,529/18,177
  6. Step 6: Final answer
    x = 78,494.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.