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Finding the Third Proportional to 9,512 and 20,254

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Solution

The third proportional to 9,512 and 20,254 is: 43,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512 : 20,254 = 20,254 : x
  2. Step 2: Convert to fraction form
    9,512/20,254 = 20,254/x
  3. Step 3: Cross multiply
    9,512x = 20,254 × 20,254
  4. Step 4: Simplify right side
    9,512x = 410,224,516
  5. Step 5: Solve for x
    x = 410,224,516/9,512
  6. Step 6: Final answer
    x = 43,127.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.