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Finding the Third Proportional to 19,672 and 47,544

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Solution

The third proportional to 19,672 and 47,544 is: 114,906.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672 : 47,544 = 47,544 : x
  2. Step 2: Convert to fraction form
    19,672/47,544 = 47,544/x
  3. Step 3: Cross multiply
    19,672x = 47,544 × 47,544
  4. Step 4: Simplify right side
    19,672x = 2,260,431,936
  5. Step 5: Solve for x
    x = 2,260,431,936/19,672
  6. Step 6: Final answer
    x = 114,906.06

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.