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Finding the Third Proportional to 43,992 and 66,364

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Solution

The third proportional to 43,992 and 66,364 is: 100,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,992 : 66,364 = 66,364 : x
  2. Step 2: Convert to fraction form
    43,992/66,364 = 66,364/x
  3. Step 3: Cross multiply
    43,992x = 66,364 × 66,364
  4. Step 4: Simplify right side
    43,992x = 4,404,180,496
  5. Step 5: Solve for x
    x = 4,404,180,496/43,992
  6. Step 6: Final answer
    x = 100,113.21

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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.