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Finding the Third Proportional to 11,571.56 and 25,233.75

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Solution

The third proportional to 11,571.56 and 25,233.75 is: 55,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.56 : 25,233.75 = 25,233.75 : x
  2. Step 2: Convert to fraction form
    11,571.56/25,233.75 = 25,233.75/x
  3. Step 3: Cross multiply
    11,571.56x = 25,233.75 × 25,233.75
  4. Step 4: Simplify right side
    11,571.56x = 636,742,139.06
  5. Step 5: Solve for x
    x = 636,742,139.06/11,571.56
  6. Step 6: Final answer
    x = 55,026.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.