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Finding the Third Proportional to 12,744.28 and 27,539.16

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Solution

The third proportional to 12,744.28 and 27,539.16 is: 59,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.28 : 27,539.16 = 27,539.16 : x
  2. Step 2: Convert to fraction form
    12,744.28/27,539.16 = 27,539.16/x
  3. Step 3: Cross multiply
    12,744.28x = 27,539.16 × 27,539.16
  4. Step 4: Simplify right side
    12,744.28x = 758,405,126.96
  5. Step 5: Solve for x
    x = 758,405,126.96/12,744.28
  6. Step 6: Final answer
    x = 59,509.45

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Why These Related Problems?

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