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Finding the Third Proportional to 14,192 and 30,832

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Solution

The third proportional to 14,192 and 30,832 is: 66,982.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192 : 30,832 = 30,832 : x
  2. Step 2: Convert to fraction form
    14,192/30,832 = 30,832/x
  3. Step 3: Cross multiply
    14,192x = 30,832 × 30,832
  4. Step 4: Simplify right side
    14,192x = 950,612,224
  5. Step 5: Solve for x
    x = 950,612,224/14,192
  6. Step 6: Final answer
    x = 66,982.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.