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Finding the Third Proportional to 29,733 and 40,771

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Solution

The third proportional to 29,733 and 40,771 is: 55,906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,733 : 40,771 = 40,771 : x
  2. Step 2: Convert to fraction form
    29,733/40,771 = 40,771/x
  3. Step 3: Cross multiply
    29,733x = 40,771 × 40,771
  4. Step 4: Simplify right side
    29,733x = 1,662,274,441
  5. Step 5: Solve for x
    x = 1,662,274,441/29,733
  6. Step 6: Final answer
    x = 55,906.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.