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Finding the Third Proportional to 19,662.75 and 27,364.50

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Solution

The third proportional to 19,662.75 and 27,364.50 is: 38,082.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,662.75 : 27,364.50 = 27,364.50 : x
  2. Step 2: Convert to fraction form
    19,662.75/27,364.50 = 27,364.50/x
  3. Step 3: Cross multiply
    19,662.75x = 27,364.50 × 27,364.50
  4. Step 4: Simplify right side
    19,662.75x = 748,815,860.25
  5. Step 5: Solve for x
    x = 748,815,860.25/19,662.75
  6. Step 6: Final answer
    x = 38,082.97

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.