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Finding the Third Proportional to 17,269 and 36,989

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Solution

The third proportional to 17,269 and 36,989 is: 79,227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,269 : 36,989 = 36,989 : x
  2. Step 2: Convert to fraction form
    17,269/36,989 = 36,989/x
  3. Step 3: Cross multiply
    17,269x = 36,989 × 36,989
  4. Step 4: Simplify right side
    17,269x = 1,368,186,121
  5. Step 5: Solve for x
    x = 1,368,186,121/17,269
  6. Step 6: Final answer
    x = 79,227.87

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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.