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Finding the Third Proportional to 27,250 and 36,985

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Solution

The third proportional to 27,250 and 36,985 is: 50,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,250 : 36,985 = 36,985 : x
  2. Step 2: Convert to fraction form
    27,250/36,985 = 36,985/x
  3. Step 3: Cross multiply
    27,250x = 36,985 × 36,985
  4. Step 4: Simplify right side
    27,250x = 1,367,890,225
  5. Step 5: Solve for x
    x = 1,367,890,225/27,250
  6. Step 6: Final answer
    x = 50,197.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.