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Finding the Third Proportional to 18,309.80 and 38,077.17

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Solution

The third proportional to 18,309.80 and 38,077.17 is: 79,185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,309.80 : 38,077.17 = 38,077.17 : x
  2. Step 2: Convert to fraction form
    18,309.80/38,077.17 = 38,077.17/x
  3. Step 3: Cross multiply
    18,309.80x = 38,077.17 × 38,077.17
  4. Step 4: Simplify right side
    18,309.80x = 1,449,871,018.00
  5. Step 5: Solve for x
    x = 1,449,871,018.00/18,309.80
  6. Step 6: Final answer
    x = 79,185.53

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