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Finding the Third Proportional to 10,500 and 23,016

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Solution

The third proportional to 10,500 and 23,016 is: 50,451.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500 : 23,016 = 23,016 : x
  2. Step 2: Convert to fraction form
    10,500/23,016 = 23,016/x
  3. Step 3: Cross multiply
    10,500x = 23,016 × 23,016
  4. Step 4: Simplify right side
    10,500x = 529,736,256
  5. Step 5: Solve for x
    x = 529,736,256/10,500
  6. Step 6: Final answer
    x = 50,451.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.