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Finding the Third Proportional to 25.75 and 60.50

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Solution

The third proportional to 25.75 and 60.50 is: 142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.75 : 60.50 = 60.50 : x
  2. Step 2: Convert to fraction form
    25.75/60.50 = 60.50/x
  3. Step 3: Cross multiply
    25.75x = 60.50 × 60.50
  4. Step 4: Simplify right side
    25.75x = 3,660.25
  5. Step 5: Solve for x
    x = 3,660.25/25.75
  6. Step 6: Final answer
    x = 142.15

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.