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Finding the Third Proportional to 17,165.75 and 36,176.75

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Solution

The third proportional to 17,165.75 and 36,176.75 is: 76,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,165.75 : 36,176.75 = 36,176.75 : x
  2. Step 2: Convert to fraction form
    17,165.75/36,176.75 = 36,176.75/x
  3. Step 3: Cross multiply
    17,165.75x = 36,176.75 × 36,176.75
  4. Step 4: Simplify right side
    17,165.75x = 1,308,757,240.56
  5. Step 5: Solve for x
    x = 1,308,757,240.56/17,165.75
  6. Step 6: Final answer
    x = 76,242.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.