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Finding the Third Proportional to 25,452.75 and 55,423.50

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Solution

The third proportional to 25,452.75 and 55,423.50 is: 120,684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,452.75 : 55,423.50 = 55,423.50 : x
  2. Step 2: Convert to fraction form
    25,452.75/55,423.50 = 55,423.50/x
  3. Step 3: Cross multiply
    25,452.75x = 55,423.50 × 55,423.50
  4. Step 4: Simplify right side
    25,452.75x = 3,071,764,352.25
  5. Step 5: Solve for x
    x = 3,071,764,352.25/25,452.75
  6. Step 6: Final answer
    x = 120,684.97

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