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Finding the Third Proportional to 30,136.50 and 64,647

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Solution

The third proportional to 30,136.50 and 64,647 is: 138,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,136.50 : 64,647 = 64,647 : x
  2. Step 2: Convert to fraction form
    30,136.50/64,647 = 64,647/x
  3. Step 3: Cross multiply
    30,136.50x = 64,647 × 64,647
  4. Step 4: Simplify right side
    30,136.50x = 4,179,234,609
  5. Step 5: Solve for x
    x = 4,179,234,609/30,136.50
  6. Step 6: Final answer
    x = 138,676.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.