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Finding the Third Proportional to 17,754 and 27,852

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Solution

The third proportional to 17,754 and 27,852 is: 43,693.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754 : 27,852 = 27,852 : x
  2. Step 2: Convert to fraction form
    17,754/27,852 = 27,852/x
  3. Step 3: Cross multiply
    17,754x = 27,852 × 27,852
  4. Step 4: Simplify right side
    17,754x = 775,733,904
  5. Step 5: Solve for x
    x = 775,733,904/17,754
  6. Step 6: Final answer
    x = 43,693.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.