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Finding the Third Proportional to 15,530 and 23,799

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Solution

The third proportional to 15,530 and 23,799 is: 36,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530 : 23,799 = 23,799 : x
  2. Step 2: Convert to fraction form
    15,530/23,799 = 23,799/x
  3. Step 3: Cross multiply
    15,530x = 23,799 × 23,799
  4. Step 4: Simplify right side
    15,530x = 566,392,401
  5. Step 5: Solve for x
    x = 566,392,401/15,530
  6. Step 6: Final answer
    x = 36,470.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.