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Finding the Third Proportional to 12,107.81 and 16,270.88

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Solution

The third proportional to 12,107.81 and 16,270.88 is: 21,865.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.81 : 16,270.88 = 16,270.88 : x
  2. Step 2: Convert to fraction form
    12,107.81/16,270.88 = 16,270.88/x
  3. Step 3: Cross multiply
    12,107.81x = 16,270.88 × 16,270.88
  4. Step 4: Simplify right side
    12,107.81x = 264,741,373.27
  5. Step 5: Solve for x
    x = 264,741,373.27/12,107.81
  6. Step 6: Final answer
    x = 21,865.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.