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Finding the Third Proportional to 32,512 and 70,976

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Solution

The third proportional to 32,512 and 70,976 is: 154,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,512 : 70,976 = 70,976 : x
  2. Step 2: Convert to fraction form
    32,512/70,976 = 70,976/x
  3. Step 3: Cross multiply
    32,512x = 70,976 × 70,976
  4. Step 4: Simplify right side
    32,512x = 5,037,592,576
  5. Step 5: Solve for x
    x = 5,037,592,576/32,512
  6. Step 6: Final answer
    x = 154,945.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.