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Finding the Third Proportional to 5,996 and 13,192

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Solution

The third proportional to 5,996 and 13,192 is: 29,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996 : 13,192 = 13,192 : x
  2. Step 2: Convert to fraction form
    5,996/13,192 = 13,192/x
  3. Step 3: Cross multiply
    5,996x = 13,192 × 13,192
  4. Step 4: Simplify right side
    5,996x = 174,028,864
  5. Step 5: Solve for x
    x = 174,028,864/5,996
  6. Step 6: Final answer
    x = 29,024.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.