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Finding the Third Proportional to 32,976 and 71,232

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Solution

The third proportional to 32,976 and 71,232 is: 153,869.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976 : 71,232 = 71,232 : x
  2. Step 2: Convert to fraction form
    32,976/71,232 = 71,232/x
  3. Step 3: Cross multiply
    32,976x = 71,232 × 71,232
  4. Step 4: Simplify right side
    32,976x = 5,073,997,824
  5. Step 5: Solve for x
    x = 5,073,997,824/32,976
  6. Step 6: Final answer
    x = 153,869.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.