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Finding the Third Proportional to 13,214 and 20,485

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Solution

The third proportional to 13,214 and 20,485 is: 31,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214 : 20,485 = 20,485 : x
  2. Step 2: Convert to fraction form
    13,214/20,485 = 20,485/x
  3. Step 3: Cross multiply
    13,214x = 20,485 × 20,485
  4. Step 4: Simplify right side
    13,214x = 419,635,225
  5. Step 5: Solve for x
    x = 419,635,225/13,214
  6. Step 6: Final answer
    x = 31,756.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.