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Finding the Third Proportional to 44,996 and 67,244

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Solution

The third proportional to 44,996 and 67,244 is: 100,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,996 : 67,244 = 67,244 : x
  2. Step 2: Convert to fraction form
    44,996/67,244 = 67,244/x
  3. Step 3: Cross multiply
    44,996x = 67,244 × 67,244
  4. Step 4: Simplify right side
    44,996x = 4,521,755,536
  5. Step 5: Solve for x
    x = 4,521,755,536/44,996
  6. Step 6: Final answer
    x = 100,492.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.