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Finding the Third Proportional to 41,920 and 63,420

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Solution

The third proportional to 41,920 and 63,420 is: 95,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,920 : 63,420 = 63,420 : x
  2. Step 2: Convert to fraction form
    41,920/63,420 = 63,420/x
  3. Step 3: Cross multiply
    41,920x = 63,420 × 63,420
  4. Step 4: Simplify right side
    41,920x = 4,022,096,400
  5. Step 5: Solve for x
    x = 4,022,096,400/41,920
  6. Step 6: Final answer
    x = 95,946.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.