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Finding the Third Proportional to 13,296 and 20,592

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Solution

The third proportional to 13,296 and 20,592 is: 31,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,296 : 20,592 = 20,592 : x
  2. Step 2: Convert to fraction form
    13,296/20,592 = 20,592/x
  3. Step 3: Cross multiply
    13,296x = 20,592 × 20,592
  4. Step 4: Simplify right side
    13,296x = 424,030,464
  5. Step 5: Solve for x
    x = 424,030,464/13,296
  6. Step 6: Final answer
    x = 31,891.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.