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Finding the Third Proportional to 10,015 and 23,183

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Solution

The third proportional to 10,015 and 23,183 is: 53,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015 : 23,183 = 23,183 : x
  2. Step 2: Convert to fraction form
    10,015/23,183 = 23,183/x
  3. Step 3: Cross multiply
    10,015x = 23,183 × 23,183
  4. Step 4: Simplify right side
    10,015x = 537,451,489
  5. Step 5: Solve for x
    x = 537,451,489/10,015
  6. Step 6: Final answer
    x = 53,664.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.