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Finding the Third Proportional to 6,192 and 13,191.75

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Solution

The third proportional to 6,192 and 13,191.75 is: 28,104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192 : 13,191.75 = 13,191.75 : x
  2. Step 2: Convert to fraction form
    6,192/13,191.75 = 13,191.75/x
  3. Step 3: Cross multiply
    6,192x = 13,191.75 × 13,191.75
  4. Step 4: Simplify right side
    6,192x = 174,022,268.06
  5. Step 5: Solve for x
    x = 174,022,268.06/6,192
  6. Step 6: Final answer
    x = 28,104.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.