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Finding the Third Proportional to 32,819.34 and 50,916.52

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Solution

The third proportional to 32,819.34 and 50,916.52 is: 78,992.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,819.34 : 50,916.52 = 50,916.52 : x
  2. Step 2: Convert to fraction form
    32,819.34/50,916.52 = 50,916.52/x
  3. Step 3: Cross multiply
    32,819.34x = 50,916.52 × 50,916.52
  4. Step 4: Simplify right side
    32,819.34x = 2,592,491,563.39
  5. Step 5: Solve for x
    x = 2,592,491,563.39/32,819.34
  6. Step 6: Final answer
    x = 78,992.79

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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.