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Finding the Third Proportional to 35,625 and 76,017

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Solution

The third proportional to 35,625 and 76,017 is: 162,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,625 : 76,017 = 76,017 : x
  2. Step 2: Convert to fraction form
    35,625/76,017 = 76,017/x
  3. Step 3: Cross multiply
    35,625x = 76,017 × 76,017
  4. Step 4: Simplify right side
    35,625x = 5,778,584,289
  5. Step 5: Solve for x
    x = 5,778,584,289/35,625
  6. Step 6: Final answer
    x = 162,205.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.