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Finding the Third Proportional to 14,085.84 and 21,936.23

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Solution

The third proportional to 14,085.84 and 21,936.23 is: 34,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085.84 : 21,936.23 = 21,936.23 : x
  2. Step 2: Convert to fraction form
    14,085.84/21,936.23 = 21,936.23/x
  3. Step 3: Cross multiply
    14,085.84x = 21,936.23 × 21,936.23
  4. Step 4: Simplify right side
    14,085.84x = 481,198,378.55
  5. Step 5: Solve for x
    x = 481,198,378.55/14,085.84
  6. Step 6: Final answer
    x = 34,161.84

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.