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Finding the Third Proportional to 12,057.19 and 25,843.22

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Solution

The third proportional to 12,057.19 and 25,843.22 is: 55,392.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.19 : 25,843.22 = 25,843.22 : x
  2. Step 2: Convert to fraction form
    12,057.19/25,843.22 = 25,843.22/x
  3. Step 3: Cross multiply
    12,057.19x = 25,843.22 × 25,843.22
  4. Step 4: Simplify right side
    12,057.19x = 667,871,955.36
  5. Step 5: Solve for x
    x = 667,871,955.36/12,057.19
  6. Step 6: Final answer
    x = 55,392.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.