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Finding the Third Proportional to 17,296 and 36,320

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Solution

The third proportional to 17,296 and 36,320 is: 76,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,296 : 36,320 = 36,320 : x
  2. Step 2: Convert to fraction form
    17,296/36,320 = 36,320/x
  3. Step 3: Cross multiply
    17,296x = 36,320 × 36,320
  4. Step 4: Simplify right side
    17,296x = 1,319,142,400
  5. Step 5: Solve for x
    x = 1,319,142,400/17,296
  6. Step 6: Final answer
    x = 76,268.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.