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Finding the Third Proportional to 12,785.50 and 20,353

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Solution

The third proportional to 12,785.50 and 20,353 is: 32,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.50 : 20,353 = 20,353 : x
  2. Step 2: Convert to fraction form
    12,785.50/20,353 = 20,353/x
  3. Step 3: Cross multiply
    12,785.50x = 20,353 × 20,353
  4. Step 4: Simplify right side
    12,785.50x = 414,244,609
  5. Step 5: Solve for x
    x = 414,244,609/12,785.50
  6. Step 6: Final answer
    x = 32,399.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.