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Finding the Third Proportional to 25,144 and 35,844

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Solution

The third proportional to 25,144 and 35,844 is: 51,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,144 : 35,844 = 35,844 : x
  2. Step 2: Convert to fraction form
    25,144/35,844 = 35,844/x
  3. Step 3: Cross multiply
    25,144x = 35,844 × 35,844
  4. Step 4: Simplify right side
    25,144x = 1,284,792,336
  5. Step 5: Solve for x
    x = 1,284,792,336/25,144
  6. Step 6: Final answer
    x = 51,097.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.