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Finding the Third Proportional to 41,128 and 55,733

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Solution

The third proportional to 41,128 and 55,733 is: 75,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,128 : 55,733 = 55,733 : x
  2. Step 2: Convert to fraction form
    41,128/55,733 = 55,733/x
  3. Step 3: Cross multiply
    41,128x = 55,733 × 55,733
  4. Step 4: Simplify right side
    41,128x = 3,106,167,289
  5. Step 5: Solve for x
    x = 3,106,167,289/41,128
  6. Step 6: Final answer
    x = 75,524.39

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