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Finding the Third Proportional to 18,346.50 and 19,986.75

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Solution

The third proportional to 18,346.50 and 19,986.75 is: 21,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,346.50 : 19,986.75 = 19,986.75 : x
  2. Step 2: Convert to fraction form
    18,346.50/19,986.75 = 19,986.75/x
  3. Step 3: Cross multiply
    18,346.50x = 19,986.75 × 19,986.75
  4. Step 4: Simplify right side
    18,346.50x = 399,470,175.56
  5. Step 5: Solve for x
    x = 399,470,175.56/18,346.50
  6. Step 6: Final answer
    x = 21,773.64

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.