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Finding the Third Proportional to 35,751 and 54,394.50

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Solution

The third proportional to 35,751 and 54,394.50 is: 82,760.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,751 : 54,394.50 = 54,394.50 : x
  2. Step 2: Convert to fraction form
    35,751/54,394.50 = 54,394.50/x
  3. Step 3: Cross multiply
    35,751x = 54,394.50 × 54,394.50
  4. Step 4: Simplify right side
    35,751x = 2,958,761,630.25
  5. Step 5: Solve for x
    x = 2,958,761,630.25/35,751
  6. Step 6: Final answer
    x = 82,760.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.