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Finding the Third Proportional to 12,102.75 and 18,471.38

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Solution

The third proportional to 12,102.75 and 18,471.38 is: 28,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.75 : 18,471.38 = 18,471.38 : x
  2. Step 2: Convert to fraction form
    12,102.75/18,471.38 = 18,471.38/x
  3. Step 3: Cross multiply
    12,102.75x = 18,471.38 × 18,471.38
  4. Step 4: Simplify right side
    12,102.75x = 341,191,694.39
  5. Step 5: Solve for x
    x = 341,191,694.39/12,102.75
  6. Step 6: Final answer
    x = 28,191.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.