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Finding the Third Proportional to 35,972 and 54,198

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Solution

The third proportional to 35,972 and 54,198 is: 81,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,972 : 54,198 = 54,198 : x
  2. Step 2: Convert to fraction form
    35,972/54,198 = 54,198/x
  3. Step 3: Cross multiply
    35,972x = 54,198 × 54,198
  4. Step 4: Simplify right side
    35,972x = 2,937,423,204
  5. Step 5: Solve for x
    x = 2,937,423,204/35,972
  6. Step 6: Final answer
    x = 81,658.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.