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Finding the Third Proportional to 25,197.75 and 52,825.50

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Solution

The third proportional to 25,197.75 and 52,825.50 is: 110,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,197.75 : 52,825.50 = 52,825.50 : x
  2. Step 2: Convert to fraction form
    25,197.75/52,825.50 = 52,825.50/x
  3. Step 3: Cross multiply
    25,197.75x = 52,825.50 × 52,825.50
  4. Step 4: Simplify right side
    25,197.75x = 2,790,533,450.25
  5. Step 5: Solve for x
    x = 2,790,533,450.25/25,197.75
  6. Step 6: Final answer
    x = 110,745.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.