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Finding the Third Proportional to 25,923 and 57,030

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Solution

The third proportional to 25,923 and 57,030 is: 125,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,923 : 57,030 = 57,030 : x
  2. Step 2: Convert to fraction form
    25,923/57,030 = 57,030/x
  3. Step 3: Cross multiply
    25,923x = 57,030 × 57,030
  4. Step 4: Simplify right side
    25,923x = 3,252,420,900
  5. Step 5: Solve for x
    x = 3,252,420,900/25,923
  6. Step 6: Final answer
    x = 125,464.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.