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Finding the Third Proportional to 17,296 and 26,592

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Solution

The third proportional to 17,296 and 26,592 is: 40,884.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,296 : 26,592 = 26,592 : x
  2. Step 2: Convert to fraction form
    17,296/26,592 = 26,592/x
  3. Step 3: Cross multiply
    17,296x = 26,592 × 26,592
  4. Step 4: Simplify right side
    17,296x = 707,134,464
  5. Step 5: Solve for x
    x = 707,134,464/17,296
  6. Step 6: Final answer
    x = 40,884.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.