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Finding the Third Proportional to 12,753 and 27,731.25

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Solution

The third proportional to 12,753 and 27,731.25 is: 60,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753 : 27,731.25 = 27,731.25 : x
  2. Step 2: Convert to fraction form
    12,753/27,731.25 = 27,731.25/x
  3. Step 3: Cross multiply
    12,753x = 27,731.25 × 27,731.25
  4. Step 4: Simplify right side
    12,753x = 769,022,226.56
  5. Step 5: Solve for x
    x = 769,022,226.56/12,753
  6. Step 6: Final answer
    x = 60,301.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.