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Finding the Third Proportional to 16,042 and 17,674

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Solution

The third proportional to 16,042 and 17,674 is: 19,472.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042 : 17,674 = 17,674 : x
  2. Step 2: Convert to fraction form
    16,042/17,674 = 17,674/x
  3. Step 3: Cross multiply
    16,042x = 17,674 × 17,674
  4. Step 4: Simplify right side
    16,042x = 312,370,276
  5. Step 5: Solve for x
    x = 312,370,276/16,042
  6. Step 6: Final answer
    x = 19,472.03

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.