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Finding the Third Proportional to 39,512 and 95,220

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Solution

The third proportional to 39,512 and 95,220 is: 229,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,512 : 95,220 = 95,220 : x
  2. Step 2: Convert to fraction form
    39,512/95,220 = 95,220/x
  3. Step 3: Cross multiply
    39,512x = 95,220 × 95,220
  4. Step 4: Simplify right side
    39,512x = 9,066,848,400
  5. Step 5: Solve for x
    x = 9,066,848,400/39,512
  6. Step 6: Final answer
    x = 229,470.75

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.