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Finding the Third Proportional to 12,383.57 and 24,161.65

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Solution

The third proportional to 12,383.57 and 24,161.65 is: 47,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.57 : 24,161.65 = 24,161.65 : x
  2. Step 2: Convert to fraction form
    12,383.57/24,161.65 = 24,161.65/x
  3. Step 3: Cross multiply
    12,383.57x = 24,161.65 × 24,161.65
  4. Step 4: Simplify right side
    12,383.57x = 583,785,396.79
  5. Step 5: Solve for x
    x = 583,785,396.79/12,383.57
  6. Step 6: Final answer
    x = 47,141.94

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.