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Finding the Third Proportional to 23,519 and 35,275

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Solution

The third proportional to 23,519 and 35,275 is: 52,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,519 : 35,275 = 35,275 : x
  2. Step 2: Convert to fraction form
    23,519/35,275 = 35,275/x
  3. Step 3: Cross multiply
    23,519x = 35,275 × 35,275
  4. Step 4: Simplify right side
    23,519x = 1,244,325,625
  5. Step 5: Solve for x
    x = 1,244,325,625/23,519
  6. Step 6: Final answer
    x = 52,907.25

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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.