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Finding the Third Proportional to 27,296 and 35,952

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Solution

The third proportional to 27,296 and 35,952 is: 47,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,296 : 35,952 = 35,952 : x
  2. Step 2: Convert to fraction form
    27,296/35,952 = 35,952/x
  3. Step 3: Cross multiply
    27,296x = 35,952 × 35,952
  4. Step 4: Simplify right side
    27,296x = 1,292,546,304
  5. Step 5: Solve for x
    x = 1,292,546,304/27,296
  6. Step 6: Final answer
    x = 47,352.96

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.