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Finding the Third Proportional to 25 and 50.50

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Solution

The third proportional to 25 and 50.50 is: 102.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25 : 50.50 = 50.50 : x
  2. Step 2: Convert to fraction form
    25/50.50 = 50.50/x
  3. Step 3: Cross multiply
    25x = 50.50 × 50.50
  4. Step 4: Simplify right side
    25x = 2,550.25
  5. Step 5: Solve for x
    x = 2,550.25/25
  6. Step 6: Final answer
    x = 102.01

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.