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Finding the Third Proportional to 11,967.75 and 25,564.50

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Solution

The third proportional to 11,967.75 and 25,564.50 is: 54,608.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.75 : 25,564.50 = 25,564.50 : x
  2. Step 2: Convert to fraction form
    11,967.75/25,564.50 = 25,564.50/x
  3. Step 3: Cross multiply
    11,967.75x = 25,564.50 × 25,564.50
  4. Step 4: Simplify right side
    11,967.75x = 653,543,660.25
  5. Step 5: Solve for x
    x = 653,543,660.25/11,967.75
  6. Step 6: Final answer
    x = 54,608.73

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