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Finding the Third Proportional to 41,920 and 62,310

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Solution

The third proportional to 41,920 and 62,310 is: 92,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,920 : 62,310 = 62,310 : x
  2. Step 2: Convert to fraction form
    41,920/62,310 = 62,310/x
  3. Step 3: Cross multiply
    41,920x = 62,310 × 62,310
  4. Step 4: Simplify right side
    41,920x = 3,882,536,100
  5. Step 5: Solve for x
    x = 3,882,536,100/41,920
  6. Step 6: Final answer
    x = 92,617.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.