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Finding the Third Proportional to 41,928 and 59,612

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Solution

The third proportional to 41,928 and 59,612 is: 84,754.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,928 : 59,612 = 59,612 : x
  2. Step 2: Convert to fraction form
    41,928/59,612 = 59,612/x
  3. Step 3: Cross multiply
    41,928x = 59,612 × 59,612
  4. Step 4: Simplify right side
    41,928x = 3,553,590,544
  5. Step 5: Solve for x
    x = 3,553,590,544/41,928
  6. Step 6: Final answer
    x = 84,754.59

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.