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Finding the Third Proportional to 32,598 and 50,845

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Solution

The third proportional to 32,598 and 50,845 is: 79,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,598 : 50,845 = 50,845 : x
  2. Step 2: Convert to fraction form
    32,598/50,845 = 50,845/x
  3. Step 3: Cross multiply
    32,598x = 50,845 × 50,845
  4. Step 4: Simplify right side
    32,598x = 2,585,214,025
  5. Step 5: Solve for x
    x = 2,585,214,025/32,598
  6. Step 6: Final answer
    x = 79,305.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.