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Finding the Third Proportional to 17,266 and 36,991

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Solution

The third proportional to 17,266 and 36,991 is: 79,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,266 : 36,991 = 36,991 : x
  2. Step 2: Convert to fraction form
    17,266/36,991 = 36,991/x
  3. Step 3: Cross multiply
    17,266x = 36,991 × 36,991
  4. Step 4: Simplify right side
    17,266x = 1,368,334,081
  5. Step 5: Solve for x
    x = 1,368,334,081/17,266
  6. Step 6: Final answer
    x = 79,250.21

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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.