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Finding the Third Proportional to 43,864 and 66,232

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Solution

The third proportional to 43,864 and 66,232 is: 100,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,864 : 66,232 = 66,232 : x
  2. Step 2: Convert to fraction form
    43,864/66,232 = 66,232/x
  3. Step 3: Cross multiply
    43,864x = 66,232 × 66,232
  4. Step 4: Simplify right side
    43,864x = 4,386,677,824
  5. Step 5: Solve for x
    x = 4,386,677,824/43,864
  6. Step 6: Final answer
    x = 100,006.33

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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.