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Finding the Third Proportional to 17,056 and 34,958

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Solution

The third proportional to 17,056 and 34,958 is: 71,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,056 : 34,958 = 34,958 : x
  2. Step 2: Convert to fraction form
    17,056/34,958 = 34,958/x
  3. Step 3: Cross multiply
    17,056x = 34,958 × 34,958
  4. Step 4: Simplify right side
    17,056x = 1,222,061,764
  5. Step 5: Solve for x
    x = 1,222,061,764/17,056
  6. Step 6: Final answer
    x = 71,649.96

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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.