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Finding the Third Proportional to 32,920 and 50,567

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Solution

The third proportional to 32,920 and 50,567 is: 77,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,920 : 50,567 = 50,567 : x
  2. Step 2: Convert to fraction form
    32,920/50,567 = 50,567/x
  3. Step 3: Cross multiply
    32,920x = 50,567 × 50,567
  4. Step 4: Simplify right side
    32,920x = 2,557,021,489
  5. Step 5: Solve for x
    x = 2,557,021,489/32,920
  6. Step 6: Final answer
    x = 77,673.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.