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Finding the Third Proportional to 16,971 and 37,326

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Solution

The third proportional to 16,971 and 37,326 is: 82,094.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971 : 37,326 = 37,326 : x
  2. Step 2: Convert to fraction form
    16,971/37,326 = 37,326/x
  3. Step 3: Cross multiply
    16,971x = 37,326 × 37,326
  4. Step 4: Simplify right side
    16,971x = 1,393,230,276
  5. Step 5: Solve for x
    x = 1,393,230,276/16,971
  6. Step 6: Final answer
    x = 82,094.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.