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Finding the Third Proportional to 29,296 and 40,288

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Solution

The third proportional to 29,296 and 40,288 is: 55,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,296 : 40,288 = 40,288 : x
  2. Step 2: Convert to fraction form
    29,296/40,288 = 40,288/x
  3. Step 3: Cross multiply
    29,296x = 40,288 × 40,288
  4. Step 4: Simplify right side
    29,296x = 1,623,122,944
  5. Step 5: Solve for x
    x = 1,623,122,944/29,296
  6. Step 6: Final answer
    x = 55,404.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.