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Finding the Third Proportional to 32,927 and 72,972

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Solution

The third proportional to 32,927 and 72,972 is: 161,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,927 : 72,972 = 72,972 : x
  2. Step 2: Convert to fraction form
    32,927/72,972 = 72,972/x
  3. Step 3: Cross multiply
    32,927x = 72,972 × 72,972
  4. Step 4: Simplify right side
    32,927x = 5,324,912,784
  5. Step 5: Solve for x
    x = 5,324,912,784/32,927
  6. Step 6: Final answer
    x = 161,718.73

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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.