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Finding the Third Proportional to 27,296 and 43,406

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Solution

The third proportional to 27,296 and 43,406 is: 69,024.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,296 : 43,406 = 43,406 : x
  2. Step 2: Convert to fraction form
    27,296/43,406 = 43,406/x
  3. Step 3: Cross multiply
    27,296x = 43,406 × 43,406
  4. Step 4: Simplify right side
    27,296x = 1,884,080,836
  5. Step 5: Solve for x
    x = 1,884,080,836/27,296
  6. Step 6: Final answer
    x = 69,024.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.