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Finding the Third Proportional to 13,696.88 and 20,514.94

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Solution

The third proportional to 13,696.88 and 20,514.94 is: 30,726.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.88 : 20,514.94 = 20,514.94 : x
  2. Step 2: Convert to fraction form
    13,696.88/20,514.94 = 20,514.94/x
  3. Step 3: Cross multiply
    13,696.88x = 20,514.94 × 20,514.94
  4. Step 4: Simplify right side
    13,696.88x = 420,862,660.63
  5. Step 5: Solve for x
    x = 420,862,660.63/13,696.88
  6. Step 6: Final answer
    x = 30,726.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.