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Finding the Third Proportional to 16,889 and 36,751

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Solution

The third proportional to 16,889 and 36,751 is: 79,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,889 : 36,751 = 36,751 : x
  2. Step 2: Convert to fraction form
    16,889/36,751 = 36,751/x
  3. Step 3: Cross multiply
    16,889x = 36,751 × 36,751
  4. Step 4: Simplify right side
    16,889x = 1,350,636,001
  5. Step 5: Solve for x
    x = 1,350,636,001/16,889
  6. Step 6: Final answer
    x = 79,971.34

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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.