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Finding the Third Proportional to 17,907 and 36,165

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Solution

The third proportional to 17,907 and 36,165 is: 73,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,907 : 36,165 = 36,165 : x
  2. Step 2: Convert to fraction form
    17,907/36,165 = 36,165/x
  3. Step 3: Cross multiply
    17,907x = 36,165 × 36,165
  4. Step 4: Simplify right side
    17,907x = 1,307,907,225
  5. Step 5: Solve for x
    x = 1,307,907,225/17,907
  6. Step 6: Final answer
    x = 73,038.88

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.