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Finding the Third Proportional to 23,544 and 35,367

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Solution

The third proportional to 23,544 and 35,367 is: 53,127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,544 : 35,367 = 35,367 : x
  2. Step 2: Convert to fraction form
    23,544/35,367 = 35,367/x
  3. Step 3: Cross multiply
    23,544x = 35,367 × 35,367
  4. Step 4: Simplify right side
    23,544x = 1,250,824,689
  5. Step 5: Solve for x
    x = 1,250,824,689/23,544
  6. Step 6: Final answer
    x = 53,127.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.