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Finding the Third Proportional to 17,754 and 27,699

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Solution

The third proportional to 17,754 and 27,699 is: 43,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754 : 27,699 = 27,699 : x
  2. Step 2: Convert to fraction form
    17,754/27,699 = 27,699/x
  3. Step 3: Cross multiply
    17,754x = 27,699 × 27,699
  4. Step 4: Simplify right side
    17,754x = 767,234,601
  5. Step 5: Solve for x
    x = 767,234,601/17,754
  6. Step 6: Final answer
    x = 43,214.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.