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Finding the Third Proportional to 12,955.20 and 27,467.28

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Solution

The third proportional to 12,955.20 and 27,467.28 is: 58,235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,955.20 : 27,467.28 = 27,467.28 : x
  2. Step 2: Convert to fraction form
    12,955.20/27,467.28 = 27,467.28/x
  3. Step 3: Cross multiply
    12,955.20x = 27,467.28 × 27,467.28
  4. Step 4: Simplify right side
    12,955.20x = 754,451,431.97
  5. Step 5: Solve for x
    x = 754,451,431.97/12,955.20
  6. Step 6: Final answer
    x = 58,235.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.