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Finding the Third Proportional to 8,392 and 16,232

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Solution

The third proportional to 8,392 and 16,232 is: 31,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392 : 16,232 = 16,232 : x
  2. Step 2: Convert to fraction form
    8,392/16,232 = 16,232/x
  3. Step 3: Cross multiply
    8,392x = 16,232 × 16,232
  4. Step 4: Simplify right side
    8,392x = 263,477,824
  5. Step 5: Solve for x
    x = 263,477,824/8,392
  6. Step 6: Final answer
    x = 31,396.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.