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Finding the Third Proportional to 13,771 and 20,785.50

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Solution

The third proportional to 13,771 and 20,785.50 is: 31,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771 : 20,785.50 = 20,785.50 : x
  2. Step 2: Convert to fraction form
    13,771/20,785.50 = 20,785.50/x
  3. Step 3: Cross multiply
    13,771x = 20,785.50 × 20,785.50
  4. Step 4: Simplify right side
    13,771x = 432,037,010.25
  5. Step 5: Solve for x
    x = 432,037,010.25/13,771
  6. Step 6: Final answer
    x = 31,372.96

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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.