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Finding the Third Proportional to 17,384 and 27,700

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Solution

The third proportional to 17,384 and 27,700 is: 44,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,384 : 27,700 = 27,700 : x
  2. Step 2: Convert to fraction form
    17,384/27,700 = 27,700/x
  3. Step 3: Cross multiply
    17,384x = 27,700 × 27,700
  4. Step 4: Simplify right side
    17,384x = 767,290,000
  5. Step 5: Solve for x
    x = 767,290,000/17,384
  6. Step 6: Final answer
    x = 44,137.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.