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Finding the Third Proportional to 25,144.38 and 52,355.63

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Solution

The third proportional to 25,144.38 and 52,355.63 is: 109,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,144.38 : 52,355.63 = 52,355.63 : x
  2. Step 2: Convert to fraction form
    25,144.38/52,355.63 = 52,355.63/x
  3. Step 3: Cross multiply
    25,144.38x = 52,355.63 × 52,355.63
  4. Step 4: Simplify right side
    25,144.38x = 2,741,111,469.14
  5. Step 5: Solve for x
    x = 2,741,111,469.14/25,144.38
  6. Step 6: Final answer
    x = 109,014.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.