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Finding the Third Proportional to 12,084 and 18,213.75

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Solution

The third proportional to 12,084 and 18,213.75 is: 27,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084 : 18,213.75 = 18,213.75 : x
  2. Step 2: Convert to fraction form
    12,084/18,213.75 = 18,213.75/x
  3. Step 3: Cross multiply
    12,084x = 18,213.75 × 18,213.75
  4. Step 4: Simplify right side
    12,084x = 331,740,689.06
  5. Step 5: Solve for x
    x = 331,740,689.06/12,084
  6. Step 6: Final answer
    x = 27,452.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.