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Finding the Third Proportional to 44,740 and 68,512

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Solution

The third proportional to 44,740 and 68,512 is: 104,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,740 : 68,512 = 68,512 : x
  2. Step 2: Convert to fraction form
    44,740/68,512 = 68,512/x
  3. Step 3: Cross multiply
    44,740x = 68,512 × 68,512
  4. Step 4: Simplify right side
    44,740x = 4,693,894,144
  5. Step 5: Solve for x
    x = 4,693,894,144/44,740
  6. Step 6: Final answer
    x = 104,914.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.