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Finding the Third Proportional to 32,868 and 72,324

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Solution

The third proportional to 32,868 and 72,324 is: 159,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,868 : 72,324 = 72,324 : x
  2. Step 2: Convert to fraction form
    32,868/72,324 = 72,324/x
  3. Step 3: Cross multiply
    32,868x = 72,324 × 72,324
  4. Step 4: Simplify right side
    32,868x = 5,230,760,976
  5. Step 5: Solve for x
    x = 5,230,760,976/32,868
  6. Step 6: Final answer
    x = 159,144.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.