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Finding the Third Proportional to 16,973 and 36,958

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Solution

The third proportional to 16,973 and 36,958 is: 80,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,973 : 36,958 = 36,958 : x
  2. Step 2: Convert to fraction form
    16,973/36,958 = 36,958/x
  3. Step 3: Cross multiply
    16,973x = 36,958 × 36,958
  4. Step 4: Simplify right side
    16,973x = 1,365,893,764
  5. Step 5: Solve for x
    x = 1,365,893,764/16,973
  6. Step 6: Final answer
    x = 80,474.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.