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Finding the Third Proportional to 35,471 and 54,923

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Solution

The third proportional to 35,471 and 54,923 is: 85,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,471 : 54,923 = 54,923 : x
  2. Step 2: Convert to fraction form
    35,471/54,923 = 54,923/x
  3. Step 3: Cross multiply
    35,471x = 54,923 × 54,923
  4. Step 4: Simplify right side
    35,471x = 3,016,535,929
  5. Step 5: Solve for x
    x = 3,016,535,929/35,471
  6. Step 6: Final answer
    x = 85,042.31

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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.