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Finding the Third Proportional to 25,922.25 and 54,455.75

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Solution

The third proportional to 25,922.25 and 54,455.75 is: 114,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,922.25 : 54,455.75 = 54,455.75 : x
  2. Step 2: Convert to fraction form
    25,922.25/54,455.75 = 54,455.75/x
  3. Step 3: Cross multiply
    25,922.25x = 54,455.75 × 54,455.75
  4. Step 4: Simplify right side
    25,922.25x = 2,965,428,708.06
  5. Step 5: Solve for x
    x = 2,965,428,708.06/25,922.25
  6. Step 6: Final answer
    x = 114,397.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.