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Finding the Third Proportional to 44,010 and 68,175

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Solution

The third proportional to 44,010 and 68,175 is: 105,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,010 : 68,175 = 68,175 : x
  2. Step 2: Convert to fraction form
    44,010/68,175 = 68,175/x
  3. Step 3: Cross multiply
    44,010x = 68,175 × 68,175
  4. Step 4: Simplify right side
    44,010x = 4,647,830,625
  5. Step 5: Solve for x
    x = 4,647,830,625/44,010
  6. Step 6: Final answer
    x = 105,608.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.