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Finding the Third Proportional to 25,150.50 and 61,441.03

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Solution

The third proportional to 25,150.50 and 61,441.03 is: 150,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,150.50 : 61,441.03 = 61,441.03 : x
  2. Step 2: Convert to fraction form
    25,150.50/61,441.03 = 61,441.03/x
  3. Step 3: Cross multiply
    25,150.50x = 61,441.03 × 61,441.03
  4. Step 4: Simplify right side
    25,150.50x = 3,775,000,321.06
  5. Step 5: Solve for x
    x = 3,775,000,321.06/25,150.50
  6. Step 6: Final answer
    x = 150,096.43

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.