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Finding the Third Proportional to 35,223 and 54,625

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Solution

The third proportional to 35,223 and 54,625 is: 84,714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,223 : 54,625 = 54,625 : x
  2. Step 2: Convert to fraction form
    35,223/54,625 = 54,625/x
  3. Step 3: Cross multiply
    35,223x = 54,625 × 54,625
  4. Step 4: Simplify right side
    35,223x = 2,983,890,625
  5. Step 5: Solve for x
    x = 2,983,890,625/35,223
  6. Step 6: Final answer
    x = 84,714.27

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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.