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Finding the Third Proportional to 48,672 and 67,812

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Solution

The third proportional to 48,672 and 67,812 is: 94,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,672 : 67,812 = 67,812 : x
  2. Step 2: Convert to fraction form
    48,672/67,812 = 67,812/x
  3. Step 3: Cross multiply
    48,672x = 67,812 × 67,812
  4. Step 4: Simplify right side
    48,672x = 4,598,467,344
  5. Step 5: Solve for x
    x = 4,598,467,344/48,672
  6. Step 6: Final answer
    x = 94,478.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.