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Finding the Third Proportional to 8,671.11 and 12,383.03

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Solution

The third proportional to 8,671.11 and 12,383.03 is: 17,683.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.11 : 12,383.03 = 12,383.03 : x
  2. Step 2: Convert to fraction form
    8,671.11/12,383.03 = 12,383.03/x
  3. Step 3: Cross multiply
    8,671.11x = 12,383.03 × 12,383.03
  4. Step 4: Simplify right side
    8,671.11x = 153,339,511.31
  5. Step 5: Solve for x
    x = 153,339,511.31/8,671.11
  6. Step 6: Final answer
    x = 17,683.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.