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Finding the Third Proportional to 26,288 and 40,200

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Solution

The third proportional to 26,288 and 40,200 is: 61,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,288 : 40,200 = 40,200 : x
  2. Step 2: Convert to fraction form
    26,288/40,200 = 40,200/x
  3. Step 3: Cross multiply
    26,288x = 40,200 × 40,200
  4. Step 4: Simplify right side
    26,288x = 1,616,040,000
  5. Step 5: Solve for x
    x = 1,616,040,000/26,288
  6. Step 6: Final answer
    x = 61,474.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.