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Finding the Third Proportional to 17,546 and 27,185

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Solution

The third proportional to 17,546 and 27,185 is: 42,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546 : 27,185 = 27,185 : x
  2. Step 2: Convert to fraction form
    17,546/27,185 = 27,185/x
  3. Step 3: Cross multiply
    17,546x = 27,185 × 27,185
  4. Step 4: Simplify right side
    17,546x = 739,024,225
  5. Step 5: Solve for x
    x = 739,024,225/17,546
  6. Step 6: Final answer
    x = 42,119.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.