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Finding the Third Proportional to 13,212 and 20,548

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Solution

The third proportional to 13,212 and 20,548 is: 31,957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212 : 20,548 = 20,548 : x
  2. Step 2: Convert to fraction form
    13,212/20,548 = 20,548/x
  3. Step 3: Cross multiply
    13,212x = 20,548 × 20,548
  4. Step 4: Simplify right side
    13,212x = 422,220,304
  5. Step 5: Solve for x
    x = 422,220,304/13,212
  6. Step 6: Final answer
    x = 31,957.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.