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Finding the Third Proportional to 25,144.25 and 53,204.38

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Solution

The third proportional to 25,144.25 and 53,204.38 is: 112,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,144.25 : 53,204.38 = 53,204.38 : x
  2. Step 2: Convert to fraction form
    25,144.25/53,204.38 = 53,204.38/x
  3. Step 3: Cross multiply
    25,144.25x = 53,204.38 × 53,204.38
  4. Step 4: Simplify right side
    25,144.25x = 2,830,705,519.14
  5. Step 5: Solve for x
    x = 2,830,705,519.14/25,144.25
  6. Step 6: Final answer
    x = 112,578.64

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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.