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Finding the Third Proportional to 20,385 and 30,793.50

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Solution

The third proportional to 20,385 and 30,793.50 is: 46,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,385 : 30,793.50 = 30,793.50 : x
  2. Step 2: Convert to fraction form
    20,385/30,793.50 = 30,793.50/x
  3. Step 3: Cross multiply
    20,385x = 30,793.50 × 30,793.50
  4. Step 4: Simplify right side
    20,385x = 948,239,642.25
  5. Step 5: Solve for x
    x = 948,239,642.25/20,385
  6. Step 6: Final answer
    x = 46,516.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.