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Finding the Third Proportional to 32,512 and 69,946

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Solution

The third proportional to 32,512 and 69,946 is: 150,481.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,512 : 69,946 = 69,946 : x
  2. Step 2: Convert to fraction form
    32,512/69,946 = 69,946/x
  3. Step 3: Cross multiply
    32,512x = 69,946 × 69,946
  4. Step 4: Simplify right side
    32,512x = 4,892,442,916
  5. Step 5: Solve for x
    x = 4,892,442,916/32,512
  6. Step 6: Final answer
    x = 150,481.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.