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Finding the Third Proportional to 25,327.25 and 54,947.50

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Solution

The third proportional to 25,327.25 and 54,947.50 is: 119,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,327.25 : 54,947.50 = 54,947.50 : x
  2. Step 2: Convert to fraction form
    25,327.25/54,947.50 = 54,947.50/x
  3. Step 3: Cross multiply
    25,327.25x = 54,947.50 × 54,947.50
  4. Step 4: Simplify right side
    25,327.25x = 3,019,227,756.25
  5. Step 5: Solve for x
    x = 3,019,227,756.25/25,327.25
  6. Step 6: Final answer
    x = 119,208.67

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