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Finding the Third Proportional to 29,272 and 43,400

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Solution

The third proportional to 29,272 and 43,400 is: 64,346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,272 : 43,400 = 43,400 : x
  2. Step 2: Convert to fraction form
    29,272/43,400 = 43,400/x
  3. Step 3: Cross multiply
    29,272x = 43,400 × 43,400
  4. Step 4: Simplify right side
    29,272x = 1,883,560,000
  5. Step 5: Solve for x
    x = 1,883,560,000/29,272
  6. Step 6: Final answer
    x = 64,346.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.