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Finding the Third Proportional to 10,467 and 23,015

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Solution

The third proportional to 10,467 and 23,015 is: 50,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467 : 23,015 = 23,015 : x
  2. Step 2: Convert to fraction form
    10,467/23,015 = 23,015/x
  3. Step 3: Cross multiply
    10,467x = 23,015 × 23,015
  4. Step 4: Simplify right side
    10,467x = 529,690,225
  5. Step 5: Solve for x
    x = 529,690,225/10,467
  6. Step 6: Final answer
    x = 50,605.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.