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Finding the Third Proportional to 19,986.75 and 23,540.63

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Solution

The third proportional to 19,986.75 and 23,540.63 is: 27,726.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,986.75 : 23,540.63 = 23,540.63 : x
  2. Step 2: Convert to fraction form
    19,986.75/23,540.63 = 23,540.63/x
  3. Step 3: Cross multiply
    19,986.75x = 23,540.63 × 23,540.63
  4. Step 4: Simplify right side
    19,986.75x = 554,161,025.39
  5. Step 5: Solve for x
    x = 554,161,025.39/19,986.75
  6. Step 6: Final answer
    x = 27,726.42

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.