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Finding the Third Proportional to 12,004.88 and 25,923.38

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Solution

The third proportional to 12,004.88 and 25,923.38 is: 55,979.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.88 : 25,923.38 = 25,923.38 : x
  2. Step 2: Convert to fraction form
    12,004.88/25,923.38 = 25,923.38/x
  3. Step 3: Cross multiply
    12,004.88x = 25,923.38 × 25,923.38
  4. Step 4: Simplify right side
    12,004.88x = 672,021,371.39
  5. Step 5: Solve for x
    x = 672,021,371.39/12,004.88
  6. Step 6: Final answer
    x = 55,979.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.