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Finding the Third Proportional to 12,101.63 and 25,311.38

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Solution

The third proportional to 12,101.63 and 25,311.38 is: 52,940.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.63 : 25,311.38 = 25,311.38 : x
  2. Step 2: Convert to fraction form
    12,101.63/25,311.38 = 25,311.38/x
  3. Step 3: Cross multiply
    12,101.63x = 25,311.38 × 25,311.38
  4. Step 4: Simplify right side
    12,101.63x = 640,665,704.39
  5. Step 5: Solve for x
    x = 640,665,704.39/12,101.63
  6. Step 6: Final answer
    x = 52,940.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.