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Finding the Third Proportional to 12,609 and 16,735.50

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Solution

The third proportional to 12,609 and 16,735.50 is: 22,212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609 : 16,735.50 = 16,735.50 : x
  2. Step 2: Convert to fraction form
    12,609/16,735.50 = 16,735.50/x
  3. Step 3: Cross multiply
    12,609x = 16,735.50 × 16,735.50
  4. Step 4: Simplify right side
    12,609x = 280,076,960.25
  5. Step 5: Solve for x
    x = 280,076,960.25/12,609
  6. Step 6: Final answer
    x = 22,212.46

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.