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Finding the Third Proportional to 12,200.63 and 25,977.38

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Solution

The third proportional to 12,200.63 and 25,977.38 is: 55,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.63 : 25,977.38 = 25,977.38 : x
  2. Step 2: Convert to fraction form
    12,200.63/25,977.38 = 25,977.38/x
  3. Step 3: Cross multiply
    12,200.63x = 25,977.38 × 25,977.38
  4. Step 4: Simplify right side
    12,200.63x = 674,824,011.89
  5. Step 5: Solve for x
    x = 674,824,011.89/12,200.63
  6. Step 6: Final answer
    x = 55,310.61

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.