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Finding the Third Proportional to 35,163 and 54,387

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Solution

The third proportional to 35,163 and 54,387 is: 84,120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,163 : 54,387 = 54,387 : x
  2. Step 2: Convert to fraction form
    35,163/54,387 = 54,387/x
  3. Step 3: Cross multiply
    35,163x = 54,387 × 54,387
  4. Step 4: Simplify right side
    35,163x = 2,957,945,769
  5. Step 5: Solve for x
    x = 2,957,945,769/35,163
  6. Step 6: Final answer
    x = 84,120.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.