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Finding the Third Proportional to 32,818 and 50,915

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Solution

The third proportional to 32,818 and 50,915 is: 78,991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,818 : 50,915 = 50,915 : x
  2. Step 2: Convert to fraction form
    32,818/50,915 = 50,915/x
  3. Step 3: Cross multiply
    32,818x = 50,915 × 50,915
  4. Step 4: Simplify right side
    32,818x = 2,592,337,225
  5. Step 5: Solve for x
    x = 2,592,337,225/32,818
  6. Step 6: Final answer
    x = 78,991.32

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