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Finding the Third Proportional to 25,224.25 and 54,071

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Solution

The third proportional to 25,224.25 and 54,071 is: 115,907.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,224.25 : 54,071 = 54,071 : x
  2. Step 2: Convert to fraction form
    25,224.25/54,071 = 54,071/x
  3. Step 3: Cross multiply
    25,224.25x = 54,071 × 54,071
  4. Step 4: Simplify right side
    25,224.25x = 2,923,673,041
  5. Step 5: Solve for x
    x = 2,923,673,041/25,224.25
  6. Step 6: Final answer
    x = 115,907.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.