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Finding the Third Proportional to 32,981 and 73,344

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Solution

The third proportional to 32,981 and 73,344 is: 163,104.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,981 : 73,344 = 73,344 : x
  2. Step 2: Convert to fraction form
    32,981/73,344 = 73,344/x
  3. Step 3: Cross multiply
    32,981x = 73,344 × 73,344
  4. Step 4: Simplify right side
    32,981x = 5,379,342,336
  5. Step 5: Solve for x
    x = 5,379,342,336/32,981
  6. Step 6: Final answer
    x = 163,104.28

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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.