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Finding the Third Proportional to 26,142.75 and 36,951.19

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Solution

The third proportional to 26,142.75 and 36,951.19 is: 52,228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,142.75 : 36,951.19 = 36,951.19 : x
  2. Step 2: Convert to fraction form
    26,142.75/36,951.19 = 36,951.19/x
  3. Step 3: Cross multiply
    26,142.75x = 36,951.19 × 36,951.19
  4. Step 4: Simplify right side
    26,142.75x = 1,365,390,257.66
  5. Step 5: Solve for x
    x = 1,365,390,257.66/26,142.75
  6. Step 6: Final answer
    x = 52,228.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.