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Finding the Third Proportional to 25,822.25 and 54,745

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Solution

The third proportional to 25,822.25 and 54,745 is: 116,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,822.25 : 54,745 = 54,745 : x
  2. Step 2: Convert to fraction form
    25,822.25/54,745 = 54,745/x
  3. Step 3: Cross multiply
    25,822.25x = 54,745 × 54,745
  4. Step 4: Simplify right side
    25,822.25x = 2,997,015,025
  5. Step 5: Solve for x
    x = 2,997,015,025/25,822.25
  6. Step 6: Final answer
    x = 116,063.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.