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Finding the Third Proportional to 16,012.69 and 23,930.44

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Solution

The third proportional to 16,012.69 and 23,930.44 is: 35,763.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.69 : 23,930.44 = 23,930.44 : x
  2. Step 2: Convert to fraction form
    16,012.69/23,930.44 = 23,930.44/x
  3. Step 3: Cross multiply
    16,012.69x = 23,930.44 × 23,930.44
  4. Step 4: Simplify right side
    16,012.69x = 572,665,838.94
  5. Step 5: Solve for x
    x = 572,665,838.94/16,012.69
  6. Step 6: Final answer
    x = 35,763.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.