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Finding the Third Proportional to 12,192 and 27,165

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Solution

The third proportional to 12,192 and 27,165 is: 60,526.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192 : 27,165 = 27,165 : x
  2. Step 2: Convert to fraction form
    12,192/27,165 = 27,165/x
  3. Step 3: Cross multiply
    12,192x = 27,165 × 27,165
  4. Step 4: Simplify right side
    12,192x = 737,937,225
  5. Step 5: Solve for x
    x = 737,937,225/12,192
  6. Step 6: Final answer
    x = 60,526.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.