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Finding the Third Proportional to 32,769 and 40,675

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Solution

The third proportional to 32,769 and 40,675 is: 50,488.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,769 : 40,675 = 40,675 : x
  2. Step 2: Convert to fraction form
    32,769/40,675 = 40,675/x
  3. Step 3: Cross multiply
    32,769x = 40,675 × 40,675
  4. Step 4: Simplify right side
    32,769x = 1,654,455,625
  5. Step 5: Solve for x
    x = 1,654,455,625/32,769
  6. Step 6: Final answer
    x = 50,488.44

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.