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Finding the Third Proportional to 7,851.94 and 16,120.27

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Solution

The third proportional to 7,851.94 and 16,120.27 is: 33,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.94 : 16,120.27 = 16,120.27 : x
  2. Step 2: Convert to fraction form
    7,851.94/16,120.27 = 16,120.27/x
  3. Step 3: Cross multiply
    7,851.94x = 16,120.27 × 16,120.27
  4. Step 4: Simplify right side
    7,851.94x = 259,862,963.82
  5. Step 5: Solve for x
    x = 259,862,963.82/7,851.94
  6. Step 6: Final answer
    x = 33,095.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.