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Finding the Third Proportional to 17,073 and 34,991

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Solution

The third proportional to 17,073 and 34,991 is: 71,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,073 : 34,991 = 34,991 : x
  2. Step 2: Convert to fraction form
    17,073/34,991 = 34,991/x
  3. Step 3: Cross multiply
    17,073x = 34,991 × 34,991
  4. Step 4: Simplify right side
    17,073x = 1,224,370,081
  5. Step 5: Solve for x
    x = 1,224,370,081/17,073
  6. Step 6: Final answer
    x = 71,713.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.