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Finding the Third Proportional to 15,474 and 23,245

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Solution

The third proportional to 15,474 and 23,245 is: 34,918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,474 : 23,245 = 23,245 : x
  2. Step 2: Convert to fraction form
    15,474/23,245 = 23,245/x
  3. Step 3: Cross multiply
    15,474x = 23,245 × 23,245
  4. Step 4: Simplify right side
    15,474x = 540,330,025
  5. Step 5: Solve for x
    x = 540,330,025/15,474
  6. Step 6: Final answer
    x = 34,918.57

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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.