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Finding the Third Proportional to 25,057 and 53,450

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Solution

The third proportional to 25,057 and 53,450 is: 114,016.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,057 : 53,450 = 53,450 : x
  2. Step 2: Convert to fraction form
    25,057/53,450 = 53,450/x
  3. Step 3: Cross multiply
    25,057x = 53,450 × 53,450
  4. Step 4: Simplify right side
    25,057x = 2,856,902,500
  5. Step 5: Solve for x
    x = 2,856,902,500/25,057
  6. Step 6: Final answer
    x = 114,016.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.