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Finding the Third Proportional to 16,961 and 34,382

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Solution

The third proportional to 16,961 and 34,382 is: 69,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,961 : 34,382 = 34,382 : x
  2. Step 2: Convert to fraction form
    16,961/34,382 = 34,382/x
  3. Step 3: Cross multiply
    16,961x = 34,382 × 34,382
  4. Step 4: Simplify right side
    16,961x = 1,182,121,924
  5. Step 5: Solve for x
    x = 1,182,121,924/16,961
  6. Step 6: Final answer
    x = 69,696.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.