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Finding the Third Proportional to 17,816 and 38,102

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Solution

The third proportional to 17,816 and 38,102 is: 81,486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,816 : 38,102 = 38,102 : x
  2. Step 2: Convert to fraction form
    17,816/38,102 = 38,102/x
  3. Step 3: Cross multiply
    17,816x = 38,102 × 38,102
  4. Step 4: Simplify right side
    17,816x = 1,451,762,404
  5. Step 5: Solve for x
    x = 1,451,762,404/17,816
  6. Step 6: Final answer
    x = 81,486.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.