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Finding the Third Proportional to 32,862 and 50,837

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Solution

The third proportional to 32,862 and 50,837 is: 78,644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,862 : 50,837 = 50,837 : x
  2. Step 2: Convert to fraction form
    32,862/50,837 = 50,837/x
  3. Step 3: Cross multiply
    32,862x = 50,837 × 50,837
  4. Step 4: Simplify right side
    32,862x = 2,584,400,569
  5. Step 5: Solve for x
    x = 2,584,400,569/32,862
  6. Step 6: Final answer
    x = 78,644.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.