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Finding the Third Proportional to 20,958 and 32,167

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Solution

The third proportional to 20,958 and 32,167 is: 49,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,958 : 32,167 = 32,167 : x
  2. Step 2: Convert to fraction form
    20,958/32,167 = 32,167/x
  3. Step 3: Cross multiply
    20,958x = 32,167 × 32,167
  4. Step 4: Simplify right side
    20,958x = 1,034,715,889
  5. Step 5: Solve for x
    x = 1,034,715,889/20,958
  6. Step 6: Final answer
    x = 49,370.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.