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Finding the Third Proportional to 41,413 and 55,175

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Solution

The third proportional to 41,413 and 55,175 is: 73,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,413 : 55,175 = 55,175 : x
  2. Step 2: Convert to fraction form
    41,413/55,175 = 55,175/x
  3. Step 3: Cross multiply
    41,413x = 55,175 × 55,175
  4. Step 4: Simplify right side
    41,413x = 3,044,280,625
  5. Step 5: Solve for x
    x = 3,044,280,625/41,413
  6. Step 6: Final answer
    x = 73,510.27

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.