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Finding the Third Proportional to 32,972 and 73,324

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Solution

The third proportional to 32,972 and 73,324 is: 163,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,972 : 73,324 = 73,324 : x
  2. Step 2: Convert to fraction form
    32,972/73,324 = 73,324/x
  3. Step 3: Cross multiply
    32,972x = 73,324 × 73,324
  4. Step 4: Simplify right side
    32,972x = 5,376,408,976
  5. Step 5: Solve for x
    x = 5,376,408,976/32,972
  6. Step 6: Final answer
    x = 163,059.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.