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Finding the Third Proportional to 25,620 and 54,167.25

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Solution

The third proportional to 25,620 and 54,167.25 is: 114,523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,620 : 54,167.25 = 54,167.25 : x
  2. Step 2: Convert to fraction form
    25,620/54,167.25 = 54,167.25/x
  3. Step 3: Cross multiply
    25,620x = 54,167.25 × 54,167.25
  4. Step 4: Simplify right side
    25,620x = 2,934,090,972.56
  5. Step 5: Solve for x
    x = 2,934,090,972.56/25,620
  6. Step 6: Final answer
    x = 114,523.46

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.