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Finding the Third Proportional to 23,069 and 36,251

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Solution

The third proportional to 23,069 and 36,251 is: 56,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,069 : 36,251 = 36,251 : x
  2. Step 2: Convert to fraction form
    23,069/36,251 = 36,251/x
  3. Step 3: Cross multiply
    23,069x = 36,251 × 36,251
  4. Step 4: Simplify right side
    23,069x = 1,314,135,001
  5. Step 5: Solve for x
    x = 1,314,135,001/23,069
  6. Step 6: Final answer
    x = 56,965.41

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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.