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Finding the Third Proportional to 17,082 and 36,716

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Solution

The third proportional to 17,082 and 36,716 is: 78,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082 : 36,716 = 36,716 : x
  2. Step 2: Convert to fraction form
    17,082/36,716 = 36,716/x
  3. Step 3: Cross multiply
    17,082x = 36,716 × 36,716
  4. Step 4: Simplify right side
    17,082x = 1,348,064,656
  5. Step 5: Solve for x
    x = 1,348,064,656/17,082
  6. Step 6: Final answer
    x = 78,917.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.