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Finding the Third Proportional to 11,296 and 29,320

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Solution

The third proportional to 11,296 and 29,320 is: 76,103.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296 : 29,320 = 29,320 : x
  2. Step 2: Convert to fraction form
    11,296/29,320 = 29,320/x
  3. Step 3: Cross multiply
    11,296x = 29,320 × 29,320
  4. Step 4: Simplify right side
    11,296x = 859,662,400
  5. Step 5: Solve for x
    x = 859,662,400/11,296
  6. Step 6: Final answer
    x = 76,103.26

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.