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Finding the Third Proportional to 8,106.75 and 19,193.63

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Solution

The third proportional to 8,106.75 and 19,193.63 is: 45,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.75 : 19,193.63 = 19,193.63 : x
  2. Step 2: Convert to fraction form
    8,106.75/19,193.63 = 19,193.63/x
  3. Step 3: Cross multiply
    8,106.75x = 19,193.63 × 19,193.63
  4. Step 4: Simplify right side
    8,106.75x = 368,395,240.64
  5. Step 5: Solve for x
    x = 368,395,240.64/8,106.75
  6. Step 6: Final answer
    x = 45,443.02

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.