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Finding the Third Proportional to 26,277 and 40,185

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Solution

The third proportional to 26,277 and 40,185 is: 61,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,277 : 40,185 = 40,185 : x
  2. Step 2: Convert to fraction form
    26,277/40,185 = 40,185/x
  3. Step 3: Cross multiply
    26,277x = 40,185 × 40,185
  4. Step 4: Simplify right side
    26,277x = 1,614,834,225
  5. Step 5: Solve for x
    x = 1,614,834,225/26,277
  6. Step 6: Final answer
    x = 61,454.28

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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.