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Finding the Third Proportional to 17,700 and 27,165

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Solution

The third proportional to 17,700 and 27,165 is: 41,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700 : 27,165 = 27,165 : x
  2. Step 2: Convert to fraction form
    17,700/27,165 = 27,165/x
  3. Step 3: Cross multiply
    17,700x = 27,165 × 27,165
  4. Step 4: Simplify right side
    17,700x = 737,937,225
  5. Step 5: Solve for x
    x = 737,937,225/17,700
  6. Step 6: Final answer
    x = 41,691.37

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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.