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Finding the Third Proportional to 25,214.25 and 54,318.75

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Solution

The third proportional to 25,214.25 and 54,318.75 is: 117,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,214.25 : 54,318.75 = 54,318.75 : x
  2. Step 2: Convert to fraction form
    25,214.25/54,318.75 = 54,318.75/x
  3. Step 3: Cross multiply
    25,214.25x = 54,318.75 × 54,318.75
  4. Step 4: Simplify right side
    25,214.25x = 2,950,526,601.56
  5. Step 5: Solve for x
    x = 2,950,526,601.56/25,214.25
  6. Step 6: Final answer
    x = 117,018.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.