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Finding the Third Proportional to 7,650.70 and 16,136.72

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Solution

The third proportional to 7,650.70 and 16,136.72 is: 34,035.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.70 : 16,136.72 = 16,136.72 : x
  2. Step 2: Convert to fraction form
    7,650.70/16,136.72 = 16,136.72/x
  3. Step 3: Cross multiply
    7,650.70x = 16,136.72 × 16,136.72
  4. Step 4: Simplify right side
    7,650.70x = 260,393,692.02
  5. Step 5: Solve for x
    x = 260,393,692.02/7,650.70
  6. Step 6: Final answer
    x = 34,035.26

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.