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Finding the Third Proportional to 43,996 and 66,370

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Solution

The third proportional to 43,996 and 66,370 is: 100,122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,996 : 66,370 = 66,370 : x
  2. Step 2: Convert to fraction form
    43,996/66,370 = 66,370/x
  3. Step 3: Cross multiply
    43,996x = 66,370 × 66,370
  4. Step 4: Simplify right side
    43,996x = 4,404,976,900
  5. Step 5: Solve for x
    x = 4,404,976,900/43,996
  6. Step 6: Final answer
    x = 100,122.21

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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.