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Finding the Third Proportional to 16,889 and 34,858

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Solution

The third proportional to 16,889 and 34,858 is: 71,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,889 : 34,858 = 34,858 : x
  2. Step 2: Convert to fraction form
    16,889/34,858 = 34,858/x
  3. Step 3: Cross multiply
    16,889x = 34,858 × 34,858
  4. Step 4: Simplify right side
    16,889x = 1,215,080,164
  5. Step 5: Solve for x
    x = 1,215,080,164/16,889
  6. Step 6: Final answer
    x = 71,945.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.