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Finding the Third Proportional to 20,168 and 25,772

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Solution

The third proportional to 20,168 and 25,772 is: 32,933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,168 : 25,772 = 25,772 : x
  2. Step 2: Convert to fraction form
    20,168/25,772 = 25,772/x
  3. Step 3: Cross multiply
    20,168x = 25,772 × 25,772
  4. Step 4: Simplify right side
    20,168x = 664,195,984
  5. Step 5: Solve for x
    x = 664,195,984/20,168
  6. Step 6: Final answer
    x = 32,933.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.