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Finding the Third Proportional to 17,247 and 36,955

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Solution

The third proportional to 17,247 and 36,955 is: 79,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,247 : 36,955 = 36,955 : x
  2. Step 2: Convert to fraction form
    17,247/36,955 = 36,955/x
  3. Step 3: Cross multiply
    17,247x = 36,955 × 36,955
  4. Step 4: Simplify right side
    17,247x = 1,365,672,025
  5. Step 5: Solve for x
    x = 1,365,672,025/17,247
  6. Step 6: Final answer
    x = 79,183.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.