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Finding the Third Proportional to 19,544 and 42,232

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Solution

The third proportional to 19,544 and 42,232 is: 91,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,544 : 42,232 = 42,232 : x
  2. Step 2: Convert to fraction form
    19,544/42,232 = 42,232/x
  3. Step 3: Cross multiply
    19,544x = 42,232 × 42,232
  4. Step 4: Simplify right side
    19,544x = 1,783,541,824
  5. Step 5: Solve for x
    x = 1,783,541,824/19,544
  6. Step 6: Final answer
    x = 91,257.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.