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Finding the Third Proportional to 16,629 and 36,174

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Solution

The third proportional to 16,629 and 36,174 is: 78,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,629 : 36,174 = 36,174 : x
  2. Step 2: Convert to fraction form
    16,629/36,174 = 36,174/x
  3. Step 3: Cross multiply
    16,629x = 36,174 × 36,174
  4. Step 4: Simplify right side
    16,629x = 1,308,558,276
  5. Step 5: Solve for x
    x = 1,308,558,276/16,629
  6. Step 6: Final answer
    x = 78,691.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.