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Finding the Third Proportional to 38,512 and 84,376

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Solution

The third proportional to 38,512 and 84,376 is: 184,859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,512 : 84,376 = 84,376 : x
  2. Step 2: Convert to fraction form
    38,512/84,376 = 84,376/x
  3. Step 3: Cross multiply
    38,512x = 84,376 × 84,376
  4. Step 4: Simplify right side
    38,512x = 7,119,309,376
  5. Step 5: Solve for x
    x = 7,119,309,376/38,512
  6. Step 6: Final answer
    x = 184,859.51

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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.