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Finding the Third Proportional to 10,651.50 and 23,247

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Solution

The third proportional to 10,651.50 and 23,247 is: 50,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.50 : 23,247 = 23,247 : x
  2. Step 2: Convert to fraction form
    10,651.50/23,247 = 23,247/x
  3. Step 3: Cross multiply
    10,651.50x = 23,247 × 23,247
  4. Step 4: Simplify right side
    10,651.50x = 540,423,009
  5. Step 5: Solve for x
    x = 540,423,009/10,651.50
  6. Step 6: Final answer
    x = 50,736.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.