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Finding the Third Proportional to 17,600 and 38,137

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Solution

The third proportional to 17,600 and 38,137 is: 82,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,600 : 38,137 = 38,137 : x
  2. Step 2: Convert to fraction form
    17,600/38,137 = 38,137/x
  3. Step 3: Cross multiply
    17,600x = 38,137 × 38,137
  4. Step 4: Simplify right side
    17,600x = 1,454,430,769
  5. Step 5: Solve for x
    x = 1,454,430,769/17,600
  6. Step 6: Final answer
    x = 82,638.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.