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Finding the Third Proportional to 32,045 and 50,267

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Solution

The third proportional to 32,045 and 50,267 is: 78,850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,045 : 50,267 = 50,267 : x
  2. Step 2: Convert to fraction form
    32,045/50,267 = 50,267/x
  3. Step 3: Cross multiply
    32,045x = 50,267 × 50,267
  4. Step 4: Simplify right side
    32,045x = 2,526,771,289
  5. Step 5: Solve for x
    x = 2,526,771,289/32,045
  6. Step 6: Final answer
    x = 78,850.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.