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Finding the Third Proportional to 12,639.80 and 19,190.67

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Solution

The third proportional to 12,639.80 and 19,190.67 is: 29,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,639.80 : 19,190.67 = 19,190.67 : x
  2. Step 2: Convert to fraction form
    12,639.80/19,190.67 = 19,190.67/x
  3. Step 3: Cross multiply
    12,639.80x = 19,190.67 × 19,190.67
  4. Step 4: Simplify right side
    12,639.80x = 368,281,887.01
  5. Step 5: Solve for x
    x = 368,281,887.01/12,639.80
  6. Step 6: Final answer
    x = 29,136.69

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