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Finding the Third Proportional to 17,576 and 27,318

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Solution

The third proportional to 17,576 and 27,318 is: 42,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,576 : 27,318 = 27,318 : x
  2. Step 2: Convert to fraction form
    17,576/27,318 = 27,318/x
  3. Step 3: Cross multiply
    17,576x = 27,318 × 27,318
  4. Step 4: Simplify right side
    17,576x = 746,273,124
  5. Step 5: Solve for x
    x = 746,273,124/17,576
  6. Step 6: Final answer
    x = 42,459.78

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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.